564379495680 has 2304 divisors, whose sum is σ = 2575275171840. Its totient is φ = 101567692800.

The previous prime is 564379495679. The next prime is 564379495711. The reversal of 564379495680 is 86594973465.

It is a super-2 number, since 2×564379495680² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 6799752919 + ... + 6799753001.

It is an arithmetic number, because the mean of its divisors is an integer number (1117740960).

Almost surely, 2^564379495680 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 564379495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287637585920).

564379495680 is an abundant number, since it is smaller than the sum of its proper divisors (2010895676160).

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

564379495680 is a wasteful number, since it uses less digits than its factorization.

564379495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 564379495680 in words is "five hundred sixty-four billion, three hundred seventy-nine million, four hundred ninety-five thousand, six hundred eighty".