1564248672 has 240 divisors, whose sum is σ = 5334148512. Its totient is φ = 440432640.

The previous prime is 1564248649. The next prime is 1564248683. The reversal of 1564248672 is 2768424651.

1564248672 is a `hidden beast` number, since 1 + 564 + 2 + 4 + 86 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1323922 + ... + 1325102.

Almost surely, 2^1564248672 is an apocalyptic number.

1564248672 is a gapful number since it is divisible by the number (12) 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 1564248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667074256).

1564248672 is an abundant number, since it is smaller than the sum of its proper divisors (3769899840).

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

1564248672 is a wasteful number, since it uses less digits than its factorization.

1564248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

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

The square root of 1564248672 is about 39550.5837125067. The cubic root of 1564248672 is about 1160.8299332249.

The spelling of 1564248672 in words is "one billion, five hundred sixty-four million, two hundred forty-eight thousand, six hundred seventy-two".