7943292864 has 336 divisors, whose sum is σ = 25745297760. Its totient is φ = 2413670400.

The previous prime is 7943292853. The next prime is 7943292883. The reversal of 7943292864 is 4682923497.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7943292864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20419582 + ... + 20419970.

It is an arithmetic number, because the mean of its divisors is an integer number (76622910).

Almost surely, 2^7943292864 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 7943292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872648880).

7943292864 is an abundant number, since it is smaller than the sum of its proper divisors (17802004896).

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

7943292864 is a wasteful number, since it uses less digits than its factorization.

7943292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 7943292864 is about 89125.1528133332. The cubic root of 7943292864 is about 1995.2631955318.

The spelling of 7943292864 in words is "seven billion, nine hundred forty-three million, two hundred ninety-two thousand, eight hundred sixty-four".