6277875968 has 144 divisors (see below), whose sum is σ = 15922400256. Its totient is φ = 2403164160.

The previous prime is 6277875959. The next prime is 6277875971. The reversal of 6277875968 is 8695787726.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717830 + ... + 726522.

It is an arithmetic number, because the mean of its divisors is an integer number (110572224).

Almost surely, 2^6277875968 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 6277875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7961200128).

6277875968 is an abundant number, since it is smaller than the sum of its proper divisors (9644524288).

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

6277875968 is a wasteful number, since it uses less digits than its factorization.

6277875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8746 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 65.

The square root of 6277875968 is about 79233.0484583296. The cubic root of 6277875968 is about 1844.7502464249.

The spelling of 6277875968 in words is "six billion, two hundred seventy-seven million, eight hundred seventy-five thousand, nine hundred sixty-eight".