1663288272 has 120 divisors (see below), whose sum is σ = 5069095200. Its totient is φ = 507112704.

The previous prime is 1663288223. The next prime is 1663288339. The reversal of 1663288272 is 2728823661.

1663288272 is a `hidden beast` number, since 1 + 6 + 632 + 8 + 8 + 2 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68863 + ... + 89825.

It is an arithmetic number, because the mean of its divisors is an integer number (42242460).

Almost surely, 2^1663288272 is an apocalyptic number.

1663288272 is a gapful number since it is divisible by the number (12) 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 1663288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534547600).

1663288272 is an abundant number, since it is smaller than the sum of its proper divisors (3405806928).

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

1663288272 is a wasteful number, since it uses less digits than its factorization.

1663288272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21025 (or 21016 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1663288272 is about 40783.4313416613. The cubic root of 1663288272 is about 1184.8294536379.

The spelling of 1663288272 in words is "one billion, six hundred sixty-three million, two hundred eighty-eight thousand, two hundred seventy-two".