7995640464 has 360 divisors, whose sum is σ = 28381978080. Its totient is φ = 2148443136.

The previous prime is 7995640459. The next prime is 7995640493. The reversal of 7995640464 is 4640465997.

It is a happy number.

7995640464 is a `hidden beast` number, since 7 + 99 + 56 + 40 + 464 = 666.

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 7995640464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6116899 + ... + 6118205.

It is an arithmetic number, because the mean of its divisors is an integer number (78838828).

Almost surely, 2^7995640464 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 7995640464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190989040).

7995640464 is an abundant number, since it is smaller than the sum of its proper divisors (20386337616).

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

7995640464 is a wasteful number, since it uses less digits than its factorization.

7995640464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 7995640464 is about 89418.3452318371. The cubic root of 7995640464 is about 1999.6366393218.

The spelling of 7995640464 in words is "seven billion, nine hundred ninety-five million, six hundred forty thousand, four hundred sixty-four".