564273432000 has 224 divisors, whose sum is σ = 2070257317440. Its totient is φ = 150472857600.

The previous prime is 564273431959. The next prime is 564273432007. The reversal of 564273432000 is 234372465.

564273432000 is a `hidden beast` number, since 5 + 64 + 273 + 4 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×564273432000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564273432007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090189 + ... + 1522188.

Almost surely, 2^564273432000 is an apocalyptic number.

564273432000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564273432000 is an abundant number, since it is smaller than the sum of its proper divisors (1505983885440).

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

564273432000 is a wasteful number, since it uses less digits than its factorization.

564273432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612413 (or 2612387 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 564273432000 in words is "five hundred sixty-four billion, two hundred seventy-three million, four hundred thirty-two thousand".