564461913600 has 600 divisors, whose sum is σ = 2249869905360. Its totient is φ = 138941153280.

The previous prime is 564461913599. The next prime is 564461913629. The reversal of 564461913600 is 6319164465.

564461913600 is a `hidden beast` number, since 5 + 64 + 46 + 191 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13457461 + ... + 13499339.

Almost surely, 2^564461913600 is an apocalyptic number.

564461913600 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 564461913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124934952680).

564461913600 is an abundant number, since it is smaller than the sum of its proper divisors (1685407991760).

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

564461913600 is a wasteful number, since it uses less digits than its factorization.

564461913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41932 (or 41902 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 564461913600 in words is "five hundred sixty-four billion, four hundred sixty-one million, nine hundred thirteen thousand, six hundred".