6401374560 has 144 divisors (see below), whose sum is σ = 24965400096. Its totient is φ = 1463169024.

The previous prime is 6401374549. The next prime is 6401374579. The reversal of 6401374560 is 654731046.

It is a happy number.

6401374560 is a `hidden beast` number, since 64 + 0 + 1 + 37 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307449 + ... + 327608.

It is an arithmetic number, because the mean of its divisors is an integer number (173370834).

Almost surely, 2^6401374560 is an apocalyptic number.

6401374560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6401374560 is an abundant number, since it is smaller than the sum of its proper divisors (18564025536).

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

6401374560 is a wasteful number, since it uses less digits than its factorization.

6401374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635085 (or 635074 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6401374560 is about 80008.5905387665. The cubic root of 6401374560 is about 1856.7684435625.

The spelling of 6401374560 in words is "six billion, four hundred one million, three hundred seventy-four thousand, five hundred sixty".