32645763072 has 546 divisors, whose sum is σ = 109169992022. Its totient is φ = 9698476032.

The previous prime is 32645763019. The next prime is 32645763079. The reversal of 32645763072 is 27036754623.

32645763072 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 5 + 7 + 630 + 7 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1579585536 + 31066177536 = 39744^2 + 176256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32645763079) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1125715954 + ... + 1125715982.

Almost surely, 2^32645763072 is an apocalyptic number.

32645763072 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 32645763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54584996011).

32645763072 is an abundant number, since it is smaller than the sum of its proper divisors (76524228950).

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

32645763072 is an frugal number, since it uses more digits than its factorization.

32645763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 47 counting only the distinct ones).

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

The spelling of 32645763072 in words is "thirty-two billion, six hundred forty-five million, seven hundred sixty-three thousand, seventy-two".