564073980840300 has 216 divisors, whose sum is σ = 1898972082008064. Its totient is φ = 128899940856960.

The previous prime is 564073980840221. The next prime is 564073980840313. The reversal of 564073980840300 is 3048089370465.

It is a super-2 number, since 2×564073980840300² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56017957 + ... + 65315843.

It is an arithmetic number, because the mean of its divisors is an integer number (8791537416704).

Almost surely, 2^{564073980840300} is an apocalyptic number.

564073980840300 is a gapful number since it is divisible by the number (50) 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 564073980840300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949486041004032).

564073980840300 is an abundant number, since it is smaller than the sum of its proper divisors (1334898101167764).

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

564073980840300 is a wasteful number, since it uses less digits than its factorization.

564073980840300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302045 (or 9302031 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 564073980840300 in words is "five hundred sixty-four trillion, seventy-three billion, nine hundred eighty million, eight hundred forty thousand, three hundred".