76114691960832 has 624 divisors, whose sum is σ = 260733081190400. Its totient is φ = 21733854806016.

The previous prime is 76114691960767. The next prime is 76114691960833. The reversal of 76114691960832 is 23806919641167.

76114691960832 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 4 + 6 + 9 + 19 + 608 + 3 + 2 = 666.

76114691960832 is digitally balanced in base 3, because in such base 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 76114691960832.

It is not an unprimeable number, because it can be changed into a prime (76114691960833) 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, 21243283713 + ... + 21243287295.

Almost surely, 2^{76114691960832} is an apocalyptic number.

76114691960832 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 76114691960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130366540595200).

76114691960832 is an abundant number, since it is smaller than the sum of its proper divisors (184618389229568).

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

76114691960832 is an equidigital number, since it uses as much as digits as its factorization.

76114691960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 76114691960832 in words is "seventy-six trillion, one hundred fourteen billion, six hundred ninety-one million, nine hundred sixty thousand, eight hundred thirty-two".