76733763063216 has 320 divisors, whose sum is σ = 228383203968000. Its totient is φ = 21747236732928.

The previous prime is 76733763063193. The next prime is 76733763063257. The reversal of 76733763063216 is 61236036733767.

It is a super-2 number, since 2×76733763063216² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76733763063216.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19559968231 + ... + 19559972153.

It is an arithmetic number, because the mean of its divisors is an integer number (713697512400).

Almost surely, 2^{76733763063216} 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 76733763063216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114191601984000).

76733763063216 is an abundant number, since it is smaller than the sum of its proper divisors (151649440904784).

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

76733763063216 is a wasteful number, since it uses less digits than its factorization.

76733763063216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 60.

The spelling of 76733763063216 in words is "seventy-six trillion, seven hundred thirty-three billion, seven hundred sixty-three million, sixty-three thousand, two hundred sixteen".