76729417128 has 384 divisors, whose sum is σ = 275635584000. Its totient is φ = 19582456320.

The previous prime is 76729417123. The next prime is 76729417189. The reversal of 76729417128 is 82171492767.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76729417123) 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 95 ways as a sum of consecutive naturals, for example, 4256358 + ... + 4274346.

It is an arithmetic number, because the mean of its divisors is an integer number (717801000).

Almost surely, 2^76729417128 is an apocalyptic number.

76729417128 is a gapful number since it is divisible by the number (78) 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 76729417128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137817792000).

76729417128 is an abundant number, since it is smaller than the sum of its proper divisors (198906166872).

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

76729417128 is a wasteful number, since it uses less digits than its factorization.

76729417128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18062 (or 18045 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 76729417128 in words is "seventy-six billion, seven hundred twenty-nine million, four hundred seventeen thousand, one hundred twenty-eight".