663114624 has 64 divisors (see below), whose sum is σ = 1783776000. Its totient is φ = 218230272.

The previous prime is 663114581. The next prime is 663114637. The reversal of 663114624 is 426411366.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×663114624² = 879442009125322752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19407 + ... + 41265.

It is an arithmetic number, because the mean of its divisors is an integer number (27871500).

Almost surely, 2^663114624 is an apocalyptic number.

663114624 is a gapful number since it is divisible by the number (64) 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 663114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891888000).

663114624 is an abundant number, since it is smaller than the sum of its proper divisors (1120661376).

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

663114624 is a wasteful number, since it uses less digits than its factorization.

663114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21955 (or 21943 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 663114624 is about 25751.0120966148. The cubic root of 663114624 is about 872.0262035164.

The spelling of 663114624 in words is "six hundred sixty-three million, one hundred fourteen thousand, six hundred twenty-four".