6400595916 has 384 divisors, whose sum is σ = 20863180800. Its totient is φ = 1669248000.

The previous prime is 6400595893. The next prime is 6400596017. The reversal of 6400595916 is 6195950046.

It is a happy number.

6400595916 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 59 + 591 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13883926 + ... + 13884386.

It is an arithmetic number, because the mean of its divisors is an integer number (54331200).

Almost surely, 2^6400595916 is an apocalyptic number.

6400595916 is a gapful number since it is divisible by the number (66) 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 6400595916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431590400).

6400595916 is an abundant number, since it is smaller than the sum of its proper divisors (14462584884).

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

6400595916 is a wasteful number, since it uses less digits than its factorization.

6400595916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 6400595916 is about 80003.7243883058. The cubic root of 6400595916 is about 1856.6931565953.

The spelling of 6400595916 in words is "six billion, four hundred million, five hundred ninety-five thousand, nine hundred sixteen".