563457664 has 96 divisors (see below), whose sum is σ = 1424662560. Its totient is φ = 219502080.

The previous prime is 563457649. The next prime is 563457683. The reversal of 563457664 is 466754365.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64909 + ... + 73075.

It is an arithmetic number, because the mean of its divisors is an integer number (14840235).

Almost surely, 2^563457664 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 563457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712331280).

563457664 is an abundant number, since it is smaller than the sum of its proper divisors (861204896).

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

563457664 is a wasteful number, since it uses less digits than its factorization.

563457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8187 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 46.

The square root of 563457664 is about 23737.2631952380. The cubic root of 563457664 is about 825.9500113385.

It can be divided in two parts, 56345 and 7664, that added together give a square (64009 = 253²).

The spelling of 563457664 in words is "five hundred sixty-three million, four hundred fifty-seven thousand, six hundred sixty-four".