564407208960000 has 2240 divisors, whose sum is σ = 2229838226558976. Its totient is φ = 124216934400000.

The previous prime is 564407208959953. The next prime is 564407208960019. The reversal of 564407208960000 is 69802704465.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1043266559730 + ... + 1043266560270.

Almost surely, 2^{564407208960000} is an apocalyptic number.

564407208960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564407208960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114919113279488).

564407208960000 is an abundant number, since it is smaller than the sum of its proper divisors (1665431017598976).

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

564407208960000 is an equidigital number, since it uses as much as digits as its factorization.

564407208960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 564407208960000 in words is "five hundred sixty-four trillion, four hundred seven billion, two hundred eight million, nine hundred sixty thousand".