6400400967 has 12 divisors (see below), whose sum is σ = 9248176080. Its totient is φ = 4265479008.

The previous prime is 6400400959. The next prime is 6400400977. The reversal of 6400400967 is 7690040046.

6400400967 is a `hidden beast` number, since 640 + 0 + 4 + 0 + 0 + 9 + 6 + 7 = 666.

It is not a de Polignac number, because 6400400967 - 2³ = 6400400959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400400927) 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, 93043 + ... + 146484.

It is an arithmetic number, because the mean of its divisors is an integer number (770681340).

Almost surely, 2^6400400967 is an apocalyptic number.

6400400967 is a deficient number, since it is larger than the sum of its proper divisors (2847775113).

6400400967 is a wasteful number, since it uses less digits than its factorization.

6400400967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242502 (or 242499 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6400400967 is about 80002.5060044996. The cubic root of 6400400967 is about 1856.6743060510.

The spelling of 6400400967 in words is "six billion, four hundred million, four hundred thousand, nine hundred sixty-seven".