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663989376960 = 263257133181727
BaseRepresentation
bin10011010100110001101…
…10011101011111000000
32100110212120011012121200
421222120312131133000
541334322240030320
61225011004421200
765654163403230
oct11523066353700
92313776135550
10663989376960
11236661769608
12a8828847800
134a7c9a59a80
14241cc8c3cc0
1512412948290
hex9a98d9d7c0

663989376960 has 672 divisors, whose sum is σ = 2901597683712. Its totient is φ = 135573626880.

The previous prime is 663989376943. The next prime is 663989377001. The reversal of 663989376960 is 69673989366.

663989376960 is a `hidden beast` number, since 66 + 39 + 89 + 376 + 96 + 0 = 666.

663989376960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 8083617 + ... + 8165343.

It is an arithmetic number, because the mean of its divisors is an integer number (4317853696).

Almost surely, 2663989376960 is an apocalyptic number.

663989376960 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 663989376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450798841856).

663989376960 is an abundant number, since it is smaller than the sum of its proper divisors (2237608306752).

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

663989376960 is a wasteful number, since it uses less digits than its factorization.

663989376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81801 (or 81788 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 72.

The spelling of 663989376960 in words is "six hundred sixty-three billion, nine hundred eighty-nine million, three hundred seventy-six thousand, nine hundred sixty".