7963137864 has 160 divisors (see below), whose sum is σ = 24391160640. Its totient is φ = 2407190400.

The previous prime is 7963137863. The next prime is 7963137877. The reversal of 7963137864 is 4687313697.

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 7963137864.

It is not an unprimeable number, because it can be changed into a prime (7963137863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3584274 + ... + 3586494.

It is an arithmetic number, because the mean of its divisors is an integer number (152444754).

Almost surely, 2^7963137864 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 7963137864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195580320).

7963137864 is an abundant number, since it is smaller than the sum of its proper divisors (16428022776).

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

7963137864 is a wasteful number, since it uses less digits than its factorization.

7963137864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7963137864 is about 89236.4155712229. The cubic root of 7963137864 is about 1996.9234251035.

The spelling of 7963137864 in words is "seven billion, nine hundred sixty-three million, one hundred thirty-seven thousand, eight hundred sixty-four".