564668750016 has 784 divisors, whose sum is σ = 1999198220544. Its totient is φ = 154806847488.

The previous prime is 564668749999. The next prime is 564668750021. The reversal of 564668750016 is 610057866465.

564668750016 is a `hidden beast` number, since 5 + 6 + 46 + 6 + 87 + 500 + 16 = 666.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1002963751 + ... + 1002964313.

Almost surely, 2^564668750016 is an apocalyptic number.

564668750016 is a gapful number since it is divisible by the number (56) 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 564668750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999599110272).

564668750016 is an abundant number, since it is smaller than the sum of its proper divisors (1434529470528).

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

564668750016 is an equidigital number, since it uses as much as digits as its factorization.

564668750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 564668750016 in words is "five hundred sixty-four billion, six hundred sixty-eight million, seven hundred fifty thousand, sixteen".