6375279456 has 864 divisors, whose sum is σ = 25096780800. Its totient is φ = 1515386880.

The previous prime is 6375279439. The next prime is 6375279481. The reversal of 6375279456 is 6549725736.

6375279456 is a `hidden beast` number, since 63 + 7 + 527 + 9 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108055555 + ... + 108055613.

It is an arithmetic number, because the mean of its divisors is an integer number (29047200).

Almost surely, 2^6375279456 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 6375279456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

6375279456 is an abundant number, since it is smaller than the sum of its proper divisors (18721501344).

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

6375279456 is a wasteful number, since it uses less digits than its factorization.

6375279456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The square root of 6375279456 is about 79845.3471155333. The cubic root of 6375279456 is about 1854.2419781705.

The spelling of 6375279456 in words is "six billion, three hundred seventy-five million, two hundred seventy-nine thousand, four hundred fifty-six".