76432868064 has 288 divisors, whose sum is σ = 252074047680. Its totient is φ = 21517664256.

The previous prime is 76432868047. The next prime is 76432868069. The reversal of 76432868064 is 46086823467.

76432868064 is a `hidden beast` number, since 76 + 432 + 8 + 6 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×76432868064² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76432868064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76432868069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52602762 + ... + 52604214.

It is an arithmetic number, because the mean of its divisors is an integer number (875257110).

Almost surely, 2^76432868064 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 76432868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126037023840).

76432868064 is an abundant number, since it is smaller than the sum of its proper divisors (175641179616).

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

76432868064 is a wasteful number, since it uses less digits than its factorization.

76432868064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 76432868064 in words is "seventy-six billion, four hundred thirty-two million, eight hundred sixty-eight thousand, sixty-four".