32253766272 has 960 divisors, whose sum is σ = 125480318400. Its totient is φ = 8136640512.

The previous prime is 32253766253. The next prime is 32253766297. The reversal of 32253766272 is 27266735223.

32253766272 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 376 + 6 + 272 = 666.

Its product of digits (1270080) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1402337653 + ... + 1402337675.

It is an arithmetic number, because the mean of its divisors is an integer number (130708665).

Almost surely, 2^32253766272 is an apocalyptic number.

32253766272 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 32253766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62740159200).

32253766272 is an abundant number, since it is smaller than the sum of its proper divisors (93226552128).

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

32253766272 is an equidigital number, since it uses as much as digits as its factorization.

32253766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 32253766272 in words is "thirty-two billion, two hundred fifty-three million, seven hundred sixty-six thousand, two hundred seventy-two".