46497559680 has 1024 divisors, whose sum is σ = 200038809600. Its totient is φ = 10052812800.

The previous prime is 46497559663. The next prime is 46497559723. The reversal of 46497559680 is 8695579464.

46497559680 is a `hidden beast` number, since 4 + 6 + 497 + 55 + 96 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76601937 + ... + 76602543.

It is an arithmetic number, because the mean of its divisors is an integer number (195350400).

Almost surely, 2^46497559680 is an apocalyptic number.

46497559680 is a gapful number since it is divisible by the number (40) 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 46497559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100019404800).

46497559680 is an abundant number, since it is smaller than the sum of its proper divisors (153541249920).

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

46497559680 is a wasteful number, since it uses less digits than its factorization.

46497559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 46497559680 in words is "forty-six billion, four hundred ninety-seven million, five hundred fifty-nine thousand, six hundred eighty".