563952264480 has 576 divisors, whose sum is σ = 2164736036736. Its totient is φ = 132507648000.

The previous prime is 563952264457. The next prime is 563952264493. The reversal of 563952264480 is 84462259365.

563952264480 is a `hidden beast` number, since 5 + 6 + 39 + 522 + 6 + 4 + 4 + 80 = 666.

It is a super-2 number, since 2×563952264480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101959315 + ... + 101964845.

It is an arithmetic number, because the mean of its divisors is an integer number (3758222286).

Almost surely, 2^563952264480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563952264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082368018368).

563952264480 is an abundant number, since it is smaller than the sum of its proper divisors (1600783772256).

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

563952264480 is a wasteful number, since it uses less digits than its factorization.

563952264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 563952264480 in words is "five hundred sixty-three billion, nine hundred fifty-two million, two hundred sixty-four thousand, four hundred eighty".