564675772500 has 960 divisors, whose sum is σ = 2272872448000. Its totient is φ = 118272960000.

The previous prime is 564675772417. The next prime is 564675772511. The reversal of 564675772500 is 5277576465.

564675772500 is a `hidden beast` number, since 5 + 6 + 4 + 67 + 5 + 7 + 72 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 278301486 + ... + 278303514.

Almost surely, 2^564675772500 is an apocalyptic number.

564675772500 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 564675772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136436224000).

564675772500 is an abundant number, since it is smaller than the sum of its proper divisors (1708196675500).

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

564675772500 is a wasteful number, since it uses less digits than its factorization.

564675772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 564675772500 in words is "five hundred sixty-four billion, six hundred seventy-five million, seven hundred seventy-two thousand, five hundred".