1564470864 has 120 divisors (see below), whose sum is σ = 4790541600. Its totient is φ = 472677120.

The previous prime is 1564470857. The next prime is 1564470881. The reversal of 1564470864 is 4680744651.

1564470864 is a `hidden beast` number, since 1 + 564 + 4 + 7 + 0 + 86 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 614907 + ... + 617445.

It is an arithmetic number, because the mean of its divisors is an integer number (39921180).

Almost surely, 2^1564470864 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 1564470864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395270800).

1564470864 is an abundant number, since it is smaller than the sum of its proper divisors (3226070736).

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

1564470864 is a wasteful number, since it uses less digits than its factorization.

1564470864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1564470864 is about 39553.3925725721. The cubic root of 1564470864 is about 1160.8848935641.

The spelling of 1564470864 in words is "one billion, five hundred sixty-four million, four hundred seventy thousand, eight hundred sixty-four".