564504041472 has 384 divisors, whose sum is σ = 1746868032000. Its totient is φ = 158787698688.

The previous prime is 564504041467. The next prime is 564504041483. The reversal of 564504041472 is 274140405465.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 877921983 + ... + 877922625.

It is an arithmetic number, because the mean of its divisors is an integer number (4549135500).

Almost surely, 2^564504041472 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 564504041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873434016000).

564504041472 is an abundant number, since it is smaller than the sum of its proper divisors (1182363990528).

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

564504041472 is a wasteful number, since it uses less digits than its factorization.

564504041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 564504041472 in words is "five hundred sixty-four billion, five hundred four million, forty-one thousand, four hundred seventy-two".