6367140864 has 352 divisors, whose sum is σ = 21789250560. Its totient is φ = 1799110656.

The previous prime is 6367140751. The next prime is 6367140887. The reversal of 6367140864 is 4680417636.

It is a happy number.

6367140864 is a `hidden beast` number, since 636 + 7 + 1 + 4 + 0 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32320414 + ... + 32320610.

It is an arithmetic number, because the mean of its divisors is an integer number (61901280).

Almost surely, 2^6367140864 is an apocalyptic number.

6367140864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6367140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894625280).

6367140864 is an abundant number, since it is smaller than the sum of its proper divisors (15422109696).

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

6367140864 is a wasteful number, since it uses less digits than its factorization.

6367140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6367140864 is about 79794.3661169133. The cubic root of 6367140864 is about 1853.4526091078.

The spelling of 6367140864 in words is "six billion, three hundred sixty-seven million, one hundred forty thousand, eight hundred sixty-four".