6400336700160 has 216 divisors, whose sum is σ = 23847921783504. Its totient is φ = 1575467458560.

The previous prime is 6400336700141. The next prime is 6400336700161. The reversal of 6400336700160 is 610076330046.

It is a happy number.

6400336700160 is a `hidden beast` number, since 6 + 400 + 33 + 67 + 0 + 0 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6400336700161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21218886 + ... + 21518405.

It is an arithmetic number, because the mean of its divisors is an integer number (110407045294).

Almost surely, 2^{6400336700160} is an apocalyptic number.

6400336700160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6400336700160 is an abundant number, since it is smaller than the sum of its proper divisors (17447585083344).

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

6400336700160 is a wasteful number, since it uses less digits than its factorization.

6400336700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42737331 (or 42737314 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 6400336700160 in words is "six trillion, four hundred billion, three hundred thirty-six million, seven hundred thousand, one hundred sixty".