76680046872 has 384 divisors, whose sum is σ = 257522284800. Its totient is φ = 20945433600.

The previous prime is 76680046831. The next prime is 76680046897. The reversal of 76680046872 is 27864008667.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17264172 + ... + 17268612.

It is an arithmetic number, because the mean of its divisors is an integer number (670630950).

Almost surely, 2^76680046872 is an apocalyptic number.

76680046872 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 76680046872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128761142400).

76680046872 is an abundant number, since it is smaller than the sum of its proper divisors (180842237928).

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

76680046872 is a wasteful number, since it uses less digits than its factorization.

76680046872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 76680046872 in words is "seventy-six billion, six hundred eighty million, forty-six thousand, eight hundred seventy-two".