6315904000 has 528 divisors, whose sum is σ = 19658077920. Its totient is φ = 2012774400.

The previous prime is 6315903961. The next prime is 6315904069. The reversal of 6315904000 is 4095136.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 6315904000.

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, 119167974 + ... + 119168026.

Almost surely, 2^6315904000 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 6315904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829038960).

6315904000 is an abundant number, since it is smaller than the sum of its proper divisors (13342173920).

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

6315904000 is a wasteful number, since it uses less digits than its factorization.

6315904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 6315904000 is about 79472.6619662384. The cubic root of 6315904000 is about 1848.4675890554.

Adding to 6315904000 its reverse (4095136), we get a palindrome (6319999136).

The spelling of 6315904000 in words is "six billion, three hundred fifteen million, nine hundred four thousand".