6371256960 has 256 divisors, whose sum is σ = 22657219200. Its totient is φ = 1692057600.

The previous prime is 6371256907. The next prime is 6371256961. The reversal of 6371256960 is 696521736.

6371256960 is a `hidden beast` number, since 637 + 1 + 2 + 5 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6371256961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5304360 + ... + 5305560.

Almost surely, 2^6371256960 is an apocalyptic number.

6371256960 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 6371256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328609600).

6371256960 is an abundant number, since it is smaller than the sum of its proper divisors (16285962240).

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

6371256960 is a wasteful number, since it uses less digits than its factorization.

6371256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6371256960 is about 79820.1538460056. The cubic root of 6371256960 is about 1853.8519168285.

The spelling of 6371256960 in words is "six billion, three hundred seventy-one million, two hundred fifty-six thousand, nine hundred sixty".