76711218640 has 160 divisors (see below), whose sum is σ = 221482967040. Its totient is φ = 24112857600.

The previous prime is 76711218613. The next prime is 76711218667. The reversal of 76711218640 is 4681211767.

It is an interprime number because it is at equal distance from previous prime (76711218613) and next prime (76711218667).

It is a super-2 number, since 2×76711218640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213555 + ... + 446125.

It is an arithmetic number, because the mean of its divisors is an integer number (1384268544).

Almost surely, 2^76711218640 is an apocalyptic number.

76711218640 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 76711218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110741483520).

76711218640 is an abundant number, since it is smaller than the sum of its proper divisors (144771748400).

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

76711218640 is a wasteful number, since it uses less digits than its factorization.

76711218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232641 (or 232635 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 76711218640 in words is "seventy-six billion, seven hundred eleven million, two hundred eighteen thousand, six hundred forty".