76346763904800 has 2016 divisors, whose sum is σ = 309071054436480. Its totient is φ = 18340013260800.

The previous prime is 76346763904753. The next prime is 76346763904819. The reversal of 76346763904800 is 840936764367.

76346763904800 is a `hidden beast` number, since 7 + 6 + 3 + 4 + 6 + 7 + 63 + 90 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15948768007 + ... + 15948772793.

It is an arithmetic number, because the mean of its divisors is an integer number (153309054780).

Almost surely, 2^{76346763904800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76346763904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154535527218240).

76346763904800 is an abundant number, since it is smaller than the sum of its proper divisors (232724290531680).

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

76346763904800 is a wasteful number, since it uses less digits than its factorization.

76346763904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 76346763904800 in words is "seventy-six trillion, three hundred forty-six billion, seven hundred sixty-three million, nine hundred four thousand, eight hundred".