17642668272 has 160 divisors (see below), whose sum is σ = 50989950720. Its totient is φ = 5223813120.

The previous prime is 17642668243. The next prime is 17642668319. The reversal of 17642668272 is 27286624671.

It is a super-2 number, since 2×17642668272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 4385622 + ... + 4389642.

It is an arithmetic number, because the mean of its divisors is an integer number (318687192).

Almost surely, 2^17642668272 is an apocalyptic number.

17642668272 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 17642668272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25494975360).

17642668272 is an abundant number, since it is smaller than the sum of its proper divisors (33347282448).

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

17642668272 is a wasteful number, since it uses less digits than its factorization.

17642668272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4345 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 17642668272 in words is "seventeen billion, six hundred forty-two million, six hundred sixty-eight thousand, two hundred seventy-two".