6402580992 has 120 divisors (see below), whose sum is σ = 18929530620. Its totient is φ = 2082078720.

The previous prime is 6402580981. The next prime is 6402580999. The reversal of 6402580992 is 2990852046.

6402580992 is a `hidden beast` number, since 64 + 0 + 2 + 580 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6402560256 + 20736 = 80016^2 + 144^2 .

It is not an unprimeable number, because it can be changed into a prime (6402580999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171984 + ... + 205872.

Almost surely, 2^6402580992 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 6402580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464765310).

6402580992 is an abundant number, since it is smaller than the sum of its proper divisors (12526949628).

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

6402580992 is a wasteful number, since it uses less digits than its factorization.

6402580992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33954 (or 33935 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6402580992 is about 80016.1295739803. The cubic root of 6402580992 is about 1856.8850812282.

The spelling of 6402580992 in words is "six billion, four hundred two million, five hundred eighty thousand, nine hundred ninety-two".