564216606720 has 1872 divisors, whose sum is σ = 2437574761440. Its totient is φ = 123834728448.

The previous prime is 564216606713. The next prime is 564216606787. The reversal of 564216606720 is 27606612465.

564216606720 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 16 + 606 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×564216606720² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29695610871 + ... + 29695610889.

It is an arithmetic number, because the mean of its divisors is an integer number (1302123270).

Almost surely, 2^564216606720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564216606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218787380720).

564216606720 is an abundant number, since it is smaller than the sum of its proper divisors (1873358154720).

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

564216606720 is an equidigital number, since it uses as much as digits as its factorization.

564216606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 564216606720 in words is "five hundred sixty-four billion, two hundred sixteen million, six hundred six thousand, seven hundred twenty".