1563990624 has 324 divisors, whose sum is σ = 5478156684. Its totient is φ = 421956864.

The previous prime is 1563990613. The next prime is 1563990689. The reversal of 1563990624 is 4260993651.

1563990624 is a `hidden beast` number, since 1 + 5 + 639 + 9 + 0 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1563990624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5094279 + ... + 5094585.

It is an arithmetic number, because the mean of its divisors is an integer number (16907891).

Almost surely, 2^1563990624 is an apocalyptic number.

1563990624 is a gapful number since it is divisible by the number (14) 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 1563990624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739078342).

1563990624 is an abundant number, since it is smaller than the sum of its proper divisors (3914166060).

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

1563990624 is a wasteful number, since it uses less digits than its factorization.

1563990624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1563990624 is about 39547.3213252175. The cubic root of 1563990624 is about 1160.7660971862.

The spelling of 1563990624 in words is "one billion, five hundred sixty-three million, nine hundred ninety thousand, six hundred twenty-four".