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663664692474720 = 25345295167341749
BaseRepresentation
bin1001011011100110010111101…
…0001111101011001101100000
310020000211201120111201020120000
42112321211322033223031200
51143441440242233142340
610311255203433020000
7256535122522412016
oct22671457217531540
93200751514636500
10663664692474720
11182511685221062
12625267b6854600
13226414094ca141
14b9c57848c48b6
1551ad6959e2d30
hex25b997a3eb360

663664692474720 has 480 divisors, whose sum is σ = 2423424270960000. Its totient is φ = 170841017217024.

The previous prime is 663664692474631. The next prime is 663664692474761. The reversal of 663664692474720 is 27474296466366.

663664692474720 is a `hidden beast` number, since 6 + 6 + 3 + 6 + 6 + 46 + 92 + 474 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1941794406 + ... + 1942136154.

It is an arithmetic number, because the mean of its divisors is an integer number (5048800564500).

Almost surely, 2663664692474720 is an apocalyptic number.

663664692474720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663664692474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211712135480000).

663664692474720 is an abundant number, since it is smaller than the sum of its proper divisors (1759759578485280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663664692474720 is a wasteful number, since it uses less digits than its factorization.

663664692474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346972 (or 346955 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 72.

The spelling of 663664692474720 in words is "six hundred sixty-three trillion, six hundred sixty-four billion, six hundred ninety-two million, four hundred seventy-four thousand, seven hundred twenty".