6375913600 has 384 divisors, whose sum is σ = 19305907200. Its totient is φ = 2032128000.

The previous prime is 6375913547. The next prime is 6375913601. The reversal of 6375913600 is 63195736.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6375913601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30217495 + ... + 30217705.

It is an arithmetic number, because the mean of its divisors is an integer number (50275800).

Almost surely, 2^6375913600 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 6375913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652953600).

6375913600 is an abundant number, since it is smaller than the sum of its proper divisors (12929993600).

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

6375913600 is a wasteful number, since it uses less digits than its factorization.

6375913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 6375913600 is about 79849.3180935191. The cubic root of 6375913600 is about 1854.3034561260.

The spelling of 6375913600 in words is "six billion, three hundred seventy-five million, nine hundred thirteen thousand, six hundred".