663627272 has 64 divisors (see below), whose sum is σ = 1560867840. Its totient is φ = 256968000.

The previous prime is 663627259. The next prime is 663627281. The reversal of 663627272 is 272726366.

It is a super-2 number, since 2×663627272² = 880802312284323968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) 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 15 ways as a sum of consecutive naturals, for example, 99647 + ... + 106097.

It is an arithmetic number, because the mean of its divisors is an integer number (24388560).

Almost surely, 2^663627272 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 663627272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780433920).

663627272 is an abundant number, since it is smaller than the sum of its proper divisors (897240568).

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

663627272 is a wasteful number, since it uses less digits than its factorization.

663627272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6638 counting only the distinct ones).

The product of its digits is 254016, while the sum is 41.

The square root of 663627272 is about 25760.9641123930. The cubic root of 663627272 is about 872.2508641914.

The spelling of 663627272 in words is "six hundred sixty-three million, six hundred twenty-seven thousand, two hundred seventy-two".