564011966700 has 1296 divisors, whose sum is σ = 2329678391040. Its totient is φ = 117298782720.

The previous prime is 564011966663. The next prime is 564011966719. The reversal of 564011966700 is 7669110465.

564011966700 is a `hidden beast` number, since 56 + 401 + 196 + 6 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1284765081 + ... + 1284765519.

Almost surely, 2^564011966700 is an apocalyptic number.

564011966700 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 564011966700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164839195520).

564011966700 is an abundant number, since it is smaller than the sum of its proper divisors (1765666424340).

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

564011966700 is a wasteful number, since it uses less digits than its factorization.

564011966700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 564011966700 in words is "five hundred sixty-four billion, eleven million, nine hundred sixty-six thousand, seven hundred".