563216640 has 288 divisors, whose sum is σ = 2147475456. Its totient is φ = 123002880.

The previous prime is 563216611. The next prime is 563216657. The reversal of 563216640 is 46612365.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617785 + ... + 618695.

It is an arithmetic number, because the mean of its divisors is an integer number (7456512).

Almost surely, 2^563216640 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 563216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073737728).

563216640 is an abundant number, since it is smaller than the sum of its proper divisors (1584258816).

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

563216640 is a wasteful number, since it uses less digits than its factorization.

563216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 563216640 is about 23732.1857400451. The cubic root of 563216640 is about 825.8322254011.

The spelling of 563216640 in words is "five hundred sixty-three million, two hundred sixteen thousand, six hundred forty".