564212402376 has 384 divisors, whose sum is σ = 1719381196800. Its totient is φ = 153694195200.

The previous prime is 564212402287. The next prime is 564212402389. The reversal of 564212402376 is 673204212465.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 519054105 + ... + 519055191.

It is an arithmetic number, because the mean of its divisors is an integer number (4477555200).

Almost surely, 2^564212402376 is an apocalyptic number.

564212402376 is a gapful number since it is divisible by the number (56) 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 564212402376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859690598400).

564212402376 is an abundant number, since it is smaller than the sum of its proper divisors (1155168794424).

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

564212402376 is a wasteful number, since it uses less digits than its factorization.

564212402376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 564212402376 in words is "five hundred sixty-four billion, two hundred twelve million, four hundred two thousand, three hundred seventy-six".