1564675680 has 96 divisors (see below), whose sum is σ = 4936274784. Its totient is φ = 416608256.

The previous prime is 1564675667. The next prime is 1564675747. The reversal of 1564675680 is 865764651.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368932 + ... + 373148.

It is an arithmetic number, because the mean of its divisors is an integer number (51419529).

Almost surely, 2^1564675680 is an apocalyptic number.

1564675680 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 1564675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468137392).

1564675680 is an abundant number, since it is smaller than the sum of its proper divisors (3371599104).

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

1564675680 is a wasteful number, since it uses less digits than its factorization.

1564675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 1564675680 is about 39555.9815957081. The cubic root of 1564675680 is about 1160.9355512509.

The spelling of 1564675680 in words is "one billion, five hundred sixty-four million, six hundred seventy-five thousand, six hundred eighty".