564737460000 has 480 divisors, whose sum is σ = 2138209653888. Its totient is φ = 127795200000.

The previous prime is 564737459977. The next prime is 564737460019. The reversal of 564737460000 is 64737465.

It is a happy number.

564737460000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42413344 + ... + 42426656.

Almost surely, 2^564737460000 is an apocalyptic number.

564737460000 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 564737460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069104826944).

564737460000 is an abundant number, since it is smaller than the sum of its proper divisors (1573472193888).

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

564737460000 is a wasteful number, since it uses less digits than its factorization.

564737460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13454 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 564737460000 in words is "five hundred sixty-four billion, seven hundred thirty-seven million, four hundred sixty thousand".