76557809664 has 240 divisors, whose sum is σ = 261343882800. Its totient is φ = 21873328128.

The previous prime is 76557809663. The next prime is 76557809689. The reversal of 76557809664 is 46690875567.

76557809664 is a `hidden beast` number, since 76 + 557 + 8 + 0 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×76557809664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76557809663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1128252 + ... + 1194180.

It is an arithmetic number, because the mean of its divisors is an integer number (1088932845).

Almost surely, 2^76557809664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76557809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671941400).

76557809664 is an abundant number, since it is smaller than the sum of its proper divisors (184786073136).

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

76557809664 is an equidigital number, since it uses as much as digits as its factorization.

76557809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65970 (or 65941 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 76557809664 in words is "seventy-six billion, five hundred fifty-seven million, eight hundred nine thousand, six hundred sixty-four".