76844615346432 has 216 divisors, whose sum is σ = 226740968598144. Its totient is φ = 25016264404992.

The previous prime is 76844615346383. The next prime is 76844615346461. The reversal of 76844615346432 is 23464351644867.

76844615346432 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 4 + 6 + 1 + 534 + 64 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76844615346432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952338793 + ... + 952419479.

Almost surely, 2^{76844615346432} is an apocalyptic number.

76844615346432 is a gapful number since it is divisible by the number (72) 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 76844615346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113370484299072).

76844615346432 is an abundant number, since it is smaller than the sum of its proper divisors (149896353251712).

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

76844615346432 is a wasteful number, since it uses less digits than its factorization.

76844615346432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90365 (or 90348 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 63.

The spelling of 76844615346432 in words is "seventy-six trillion, eight hundred forty-four billion, six hundred fifteen million, three hundred forty-six thousand, four hundred thirty-two".