564206521499964 has 384 divisors, whose sum is σ = 1724263916390400. Its totient is φ = 156196882759680.

The previous prime is 564206521499963. The next prime is 564206521500023. The reversal of 564206521499964 is 469994125602465.

564206521499964 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 0 + 6 + 521 + 4 + 9 + 9 + 96 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 564206521499892 and 564206521499901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564206521499963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6631361904 + ... + 6631446984.

It is an arithmetic number, because the mean of its divisors is an integer number (4490270615600).

Almost surely, 2^{564206521499964} is an apocalyptic number.

564206521499964 is a gapful number since it is divisible by the number (54) 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 564206521499964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862131958195200).

564206521499964 is an abundant number, since it is smaller than the sum of its proper divisors (1160057394890436).

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

564206521499964 is a wasteful number, since it uses less digits than its factorization.

564206521499964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86770 (or 86762 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 564206521499964 in words is "five hundred sixty-four trillion, two hundred six billion, five hundred twenty-one million, four hundred ninety-nine thousand, nine hundred sixty-four".