6312504960 has 320 divisors, whose sum is σ = 22677684480. Its totient is φ = 1673312256.

The previous prime is 6312504943. The next prime is 6312504971. The reversal of 6312504960 is 694052136.

It is a happy number.

6312504960 is a `hidden beast` number, since 63 + 1 + 2 + 504 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13633689 + ... + 13634151.

It is an arithmetic number, because the mean of its divisors is an integer number (70867764).

Almost surely, 2^6312504960 is an apocalyptic number.

6312504960 is a gapful number since it is divisible by the number (60) 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 6312504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338842240).

6312504960 is an abundant number, since it is smaller than the sum of its proper divisors (16365179520).

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

6312504960 is a wasteful number, since it uses less digits than its factorization.

6312504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6312504960 is about 79451.2741244595. The cubic root of 6312504960 is about 1848.1359319812.

The spelling of 6312504960 in words is "six billion, three hundred twelve million, five hundred four thousand, nine hundred sixty".