6400400960 has 28 divisors (see below), whose sum is σ = 15240955548. Its totient is φ = 2560160256.

The previous prime is 6400400959. The next prime is 6400400977. The reversal of 6400400960 is 690040046.

It can be written as a sum of positive squares in 2 ways, for example, as 4756585024 + 1643815936 = 68968^2 + 40544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10000307 + ... + 10000946.

It is an arithmetic number, because the mean of its divisors is an integer number (544319841).

Almost surely, 2^6400400960 is an apocalyptic number.

It is an amenable number.

6400400960 is an abundant number, since it is smaller than the sum of its proper divisors (8840554588).

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

6400400960 is a wasteful number, since it uses less digits than its factorization.

6400400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20001270 (or 20001260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 6400400960 is about 80002.5059607510. The cubic root of 6400400960 is about 1856.6743053742.

The spelling of 6400400960 in words is "six billion, four hundred million, four hundred thousand, nine hundred sixty".