1564738560 has 880 divisors, whose sum is σ = 7133385600. Its totient is φ = 325140480.

The previous prime is 1564738519. The next prime is 1564738573. The reversal of 1564738560 is 658374651.

1564738560 is a `hidden beast` number, since 1 + 56 + 4 + 7 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×1564738560² = 4896813522301747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142248955 + ... + 142248965.

It is an arithmetic number, because the mean of its divisors is an integer number (8106120).

Almost surely, 2^1564738560 is an apocalyptic number.

1564738560 is a gapful number since it is divisible by the number (10) 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 1564738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566692800).

1564738560 is an abundant number, since it is smaller than the sum of its proper divisors (5568647040).

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

1564738560 is an equidigital number, since it uses as much as digits as its factorization.

1564738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1564738560 is about 39556.7764106227. The cubic root of 1564738560 is about 1160.9511026419.

The spelling of 1564738560 in words is "one billion, five hundred sixty-four million, seven hundred thirty-eight thousand, five hundred sixty".