564380552400 has 240 divisors, whose sum is σ = 2174916748800. Its totient is φ = 122211694080.

The previous prime is 564380552377. The next prime is 564380552423. The reversal of 564380552400 is 4255083465.

564380552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564380552377) and next prime (564380552423).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608510 + ... + 1927709.

It is an arithmetic number, because the mean of its divisors is an integer number (9062153120).

Almost surely, 2^564380552400 is an apocalyptic number.

564380552400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564380552400 is an abundant number, since it is smaller than the sum of its proper divisors (1610536196400).

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

564380552400 is a wasteful number, since it uses less digits than its factorization.

564380552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536266 (or 3536255 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 564380552400 in words is "five hundred sixty-four billion, three hundred eighty million, five hundred fifty-two thousand, four hundred".