646256342400 has 96 divisors (see below), whose sum is σ = 2128606859400. Its totient is φ = 172335022080.

The previous prime is 646256342387. The next prime is 646256342401. The reversal of 646256342400 is 4243652646.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646256342401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33649585 + ... + 33668784.

Almost surely, 2^646256342400 is an apocalyptic number.

646256342400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

646256342400 is an abundant number, since it is smaller than the sum of its proper divisors (1482350517000).

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

646256342400 is a wasteful number, since it uses less digits than its factorization.

646256342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67318396 (or 67318379 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 646256342400 in words is "six hundred forty-six billion, two hundred fifty-six million, three hundred forty-two thousand, four hundred".