564537600000 has 1512 divisors, whose sum is σ = 2325187330830. Its totient is φ = 136857600000.

The previous prime is 564537599987. The next prime is 564537600007. The reversal of 564537600000 is 6735465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

564537600000 is a `hidden beast` number, since 5 + 6 + 45 + 3 + 7 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 812934144 + 563724665856 = 28512^2 + 750816^2 .

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 (564537600007) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 51321599995 + ... + 51321600005.

Almost surely, 2^564537600000 is an apocalyptic number.

564537600000 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 564537600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162593665415).

564537600000 is an abundant number, since it is smaller than the sum of its proper divisors (1760649730830).

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

564537600000 is an frugal number, since it uses more digits than its factorization.

564537600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 564537600000 in words is "five hundred sixty-four billion, five hundred thirty-seven million, six hundred thousand".