1564340736 has 240 divisors, whose sum is σ = 4961271744. Its totient is φ = 429047808.

The previous prime is 1564340689. The next prime is 1564340741. The reversal of 1564340736 is 6370434651.

It is a junction number, because it is equal to n+sod(n) for n = 1564340694 and 1564340703.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9042346 + ... + 9042518.

Almost surely, 2^1564340736 is an apocalyptic number.

1564340736 is a gapful number since it is divisible by the number (16) 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 1564340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480635872).

1564340736 is an abundant number, since it is smaller than the sum of its proper divisors (3396931008).

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

1564340736 is an equidigital number, since it uses as much as digits as its factorization.

1564340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 1564340736 is about 39551.7475720100. The cubic root of 1564340736 is about 1160.8527063624.

The spelling of 1564340736 in words is "one billion, five hundred sixty-four million, three hundred forty thousand, seven hundred thirty-six".