6405000976 has 80 divisors (see below), whose sum is σ = 14096347776. Its totient is φ = 2793600000.

The previous prime is 6405000911. The next prime is 6405000983. The reversal of 6405000976 is 6790005046.

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, 432901 + ... + 447451.

Almost surely, 2^6405000976 is an apocalyptic number.

6405000976 is the 40016-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6405000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048173888).

6405000976 is an abundant number, since it is smaller than the sum of its proper divisors (7691346800).

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

6405000976 is a wasteful number, since it uses less digits than its factorization.

6405000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14672 (or 14666 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 6405000976 is about 80031.2499964857. The cubic root of 6405000976 is about 1857.1190007553.

The spelling of 6405000976 in words is "six billion, four hundred five million, nine hundred seventy-six", and thus it is an aban number.