564753862400 has 432 divisors, whose sum is σ = 1737650741568. Its totient is φ = 176947200000.

The previous prime is 564753862381. The next prime is 564753862403. The reversal of 564753862400 is 4268357465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564753862403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58817600 + ... + 58827200.

Almost surely, 2^564753862400 is an apocalyptic number.

564753862400 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 564753862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868825370784).

564753862400 is an abundant number, since it is smaller than the sum of its proper divisors (1172896879168).

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

564753862400 is a wasteful number, since it uses less digits than its factorization.

564753862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 564753862400 in words is "five hundred sixty-four billion, seven hundred fifty-three million, eight hundred sixty-two thousand, four hundred".