564807264390 has 224 divisors, whose sum is σ = 1551200150016. Its totient is φ = 147967871040.

The previous prime is 564807264389. The next prime is 564807264493. The reversal of 564807264390 is 93462708465.

564807264390 is a `hidden beast` number, since 5 + 6 + 480 + 72 + 6 + 4 + 3 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 210511989 + ... + 210514671.

Almost surely, 2^564807264390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564807264390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775600075008).

564807264390 is an abundant number, since it is smaller than the sum of its proper divisors (986392885626).

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

564807264390 is a wasteful number, since it uses less digits than its factorization.

564807264390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 564807264390 in words is "five hundred sixty-four billion, eight hundred seven million, two hundred sixty-four thousand, three hundred ninety".