1564375680 has 448 divisors, whose sum is σ = 6421593600. Its totient is φ = 356825088.

The previous prime is 1564375633. The next prime is 1564375781. The reversal of 1564375680 is 865734651.

1564375680 is a `hidden beast` number, since 1 + 56 + 4 + 37 + 568 + 0 = 666.

1564375680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 3265681 + ... + 3266159.

Almost surely, 2^1564375680 is an apocalyptic number.

1564375680 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 1564375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210796800).

1564375680 is an abundant number, since it is smaller than the sum of its proper divisors (4857217920).

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

1564375680 is an frugal number, since it uses more digits than its factorization.

1564375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

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

The square root of 1564375680 is about 39552.1893199352. The cubic root of 1564375680 is about 1160.8613499471.

The spelling of 1564375680 in words is "one billion, five hundred sixty-four million, three hundred seventy-five thousand, six hundred eighty".