32668726272 has 352 divisors, whose sum is σ = 108076883712. Its totient is φ = 8543010816.

The previous prime is 32668726271. The next prime is 32668726273. The reversal of 32668726272 is 27262786623.

It is an interprime number because it is at equal distance from previous prime (32668726271) and next prime (32668726273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32668726271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38298198 + ... + 38299050.

Almost surely, 2^32668726272 is an apocalyptic number.

32668726272 is a gapful number since it is divisible by the number (32) 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 32668726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54038441856).

32668726272 is an abundant number, since it is smaller than the sum of its proper divisors (75408157440).

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

32668726272 is a wasteful number, since it uses less digits than its factorization.

32668726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1015 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 32668726272 in words is "thirty-two billion, six hundred sixty-eight million, seven hundred twenty-six thousand, two hundred seventy-two".