7904872734720 has 336 divisors, whose sum is σ = 27389485776672. Its totient is φ = 1945809715200.

The previous prime is 7904872734691. The next prime is 7904872734749. The reversal of 7904872734720 is 274372784097.

It is an interprime number because it is at equal distance from previous prime (7904872734691) and next prime (7904872734749).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20576395 + ... + 20957045.

Almost surely, 2^{7904872734720} 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 7904872734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694742888336).

7904872734720 is an abundant number, since it is smaller than the sum of its proper divisors (19484613041952).

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

7904872734720 is a wasteful number, since it uses less digits than its factorization.

7904872734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380711 (or 380674 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 60.

The spelling of 7904872734720 in words is "seven trillion, nine hundred four billion, eight hundred seventy-two million, seven hundred thirty-four thousand, seven hundred twenty".