564216644162000 has 80 divisors (see below), whose sum is σ = 1364567442451200. Its totient is φ = 225638419971200.

The previous prime is 564216644161997. The next prime is 564216644162009. The reversal of 564216644162000 is 261446612465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564216644162009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20788220 + ... + 39504219.

It is an arithmetic number, because the mean of its divisors is an integer number (17057093030640).

Almost surely, 2^{564216644162000} is an apocalyptic number.

564216644162000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564216644162000 is an abundant number, since it is smaller than the sum of its proper divisors (800350798289200).

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

564216644162000 is a wasteful number, since it uses less digits than its factorization.

564216644162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60297141 (or 60297125 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 564216644162000 in words is "five hundred sixty-four trillion, two hundred sixteen billion, six hundred forty-four million, one hundred sixty-two thousand".