564203637457488 has 400 divisors, whose sum is σ = 1906560428572800. Its totient is φ = 161012831325696.

The previous prime is 564203637457429. The next prime is 564203637457501. The reversal of 564203637457488 is 884754736302465.

564203637457488 is a `hidden beast` number, since 5 + 6 + 4 + 20 + 3 + 6 + 3 + 74 + 57 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 380219995 + ... + 381700997.

It is an arithmetic number, because the mean of its divisors is an integer number (4766401071432).

Almost surely, 2^{564203637457488} 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 564203637457488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953280214286400).

564203637457488 is an abundant number, since it is smaller than the sum of its proper divisors (1342356791115312).

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

564203637457488 is a wasteful number, since it uses less digits than its factorization.

564203637457488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481901 (or 1481872 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 72.

The spelling of 564203637457488 in words is "five hundred sixty-four trillion, two hundred three billion, six hundred thirty-seven million, four hundred fifty-seven thousand, four hundred eighty-eight".