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666984739680 = 2532574110715083
BaseRepresentation
bin10011011010010110110…
…00110111001101100000
32100202121022110101210200
421231023120313031200
541411441043132210
61230224125425200
766121334513160
oct11551330671540
92322538411720
10666984739680
11237959551996
12a9323a0b200
134ab864a964c
14243d46405a0
151253a8c30c0
hex9b4b637360

666984739680 has 576 divisors, whose sum is σ = 2689767295488. Its totient is φ = 147335454720.

The previous prime is 666984739651. The next prime is 666984739703. The reversal of 666984739680 is 86937489666.

666984739680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 666984739599 and 666984739608.

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, 44213419 + ... + 44228501.

It is an arithmetic number, because the mean of its divisors is an integer number (4669734888).

Almost surely, 2666984739680 is an apocalyptic number.

666984739680 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 666984739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344883647744).

666984739680 is an abundant number, since it is smaller than the sum of its proper divisors (2022782555808).

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

666984739680 is a wasteful number, since it uses less digits than its factorization.

666984739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15248 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 666984739680 in words is "six hundred sixty-six billion, nine hundred eighty-four million, seven hundred thirty-nine thousand, six hundred eighty".