7720073836800 has 864 divisors, whose sum is σ = 29246490604800. Its totient is φ = 1776549888000.

The previous prime is 7720073836759. The next prime is 7720073836859. The reversal of 7720073836800 is 86383700277.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 640717176 + ... + 640729224.

Almost surely, 2^{7720073836800} 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 7720073836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623245302400).

7720073836800 is an abundant number, since it is smaller than the sum of its proper divisors (21526416768000).

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

7720073836800 is a wasteful number, since it uses less digits than its factorization.

7720073836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 7720073836800 in words is "seven trillion, seven hundred twenty billion, seventy-three million, eight hundred thirty-six thousand, eight hundred".