564074756952 has 192 divisors, whose sum is σ = 1771060896000. Its totient is φ = 146453121024.

The previous prime is 564074756951. The next prime is 564074756983. The reversal of 564074756952 is 259657470465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564074756951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207699 + ... + 1608317.

It is an arithmetic number, because the mean of its divisors is an integer number (9224275500).

Almost surely, 2^564074756952 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 564074756952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885530448000).

564074756952 is an abundant number, since it is smaller than the sum of its proper divisors (1206986139048).

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

564074756952 is a wasteful number, since it uses less digits than its factorization.

564074756952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400698 (or 400677 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 564074756952 in words is "five hundred sixty-four billion, seventy-four million, seven hundred fifty-six thousand, nine hundred fifty-two".