76629866040 has 384 divisors, whose sum is σ = 308355465600. Its totient is φ = 16166891520.

The previous prime is 76629866039. The next prime is 76629866069. The reversal of 76629866040 is 4066892667.

76629866040 is a `hidden beast` number, since 7 + 6 + 6 + 29 + 8 + 6 + 604 + 0 = 666.

It is a Cunningham number, because it is equal to 276821²-1.

It is a congruent number.

It is an unprimeable number.

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, 5529520 + ... + 5543360.

It is an arithmetic number, because the mean of its divisors is an integer number (803009025).

Almost surely, 2^76629866040 is an apocalyptic number.

76629866040 is a gapful number since it is divisible by the number (70) 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 76629866040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154177732800).

76629866040 is an abundant number, since it is smaller than the sum of its proper divisors (231725599560).

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

76629866040 is a wasteful number, since it uses less digits than its factorization.

76629866040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 76629866040 in words is "seventy-six billion, six hundred twenty-nine million, eight hundred sixty-six thousand, forty".