7764791387328 has 672 divisors, whose sum is σ = 24752764108800. Its totient is φ = 2316221816832.

The previous prime is 7764791387293. The next prime is 7764791387329. The reversal of 7764791387328 is 8237831974677.

7764791387328 is a `hidden beast` number, since 7 + 76 + 479 + 1 + 3 + 87 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (597445632) is a multiple of the sum of its prime divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (7764791387329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9366454818 + ... + 9366455646.

It is an arithmetic number, because the mean of its divisors is an integer number (36834470400).

Almost surely, 2^{7764791387328} 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 7764791387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376382054400).

7764791387328 is an abundant number, since it is smaller than the sum of its proper divisors (16987972721472).

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

7764791387328 is a wasteful number, since it uses less digits than its factorization.

7764791387328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 72.

The spelling of 7764791387328 in words is "seven trillion, seven hundred sixty-four billion, seven hundred ninety-one million, three hundred eighty-seven thousand, three hundred twenty-eight".