76277395674432 has 336 divisors, whose sum is σ = 228650756076288. Its totient is φ = 24266073047040.

The previous prime is 76277395674413. The next prime is 76277395674433. The reversal of 76277395674432 is 23447659377267.

76277395674432 is a `hidden beast` number, since 7 + 6 + 2 + 7 + 73 + 9 + 56 + 74 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76277395674433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22614109098 + ... + 22614112470.

It is an arithmetic number, because the mean of its divisors is an integer number (680508202608).

Almost surely, 2^{76277395674432} is an apocalyptic number.

76277395674432 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 76277395674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114325378038144).

76277395674432 is an abundant number, since it is smaller than the sum of its proper divisors (152373360401856).

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

76277395674432 is a wasteful number, since it uses less digits than its factorization.

76277395674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6705 counting only the distinct ones).

The product of its digits is 2240421120, while the sum is 72.

The spelling of 76277395674432 in words is "seventy-six trillion, two hundred seventy-seven billion, three hundred ninety-five million, six hundred seventy-four thousand, four hundred thirty-two".