564910431680 has 336 divisors, whose sum is σ = 1585739897856. Its totient is φ = 191110348800.

The previous prime is 564910431637. The next prime is 564910431697. The reversal of 564910431680 is 86134019465.

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, 490799105 + ... + 490800255.

Almost surely, 2^564910431680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564910431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792869948928).

564910431680 is an abundant number, since it is smaller than the sum of its proper divisors (1020829466176).

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

564910431680 is a wasteful number, since it uses less digits than its factorization.

564910431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 564910431680 in words is "five hundred sixty-four billion, nine hundred ten million, four hundred thirty-one thousand, six hundred eighty".