32305666964688 has 240 divisors, whose sum is σ = 107575394734080. Its totient is φ = 8948726747136.

The previous prime is 32305666964587. The next prime is 32305666964689. The reversal of 32305666964688 is 88646966650323.

It is a super-2 number, since 2×32305666964688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32305666964689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21336208 + ... + 22800111.

It is an arithmetic number, because the mean of its divisors is an integer number (448230811392).

Almost surely, 2^{32305666964688} is an apocalyptic number.

It is an amenable number.

32305666964688 is an abundant number, since it is smaller than the sum of its proper divisors (75269727769392).

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

32305666964688 is a wasteful number, since it uses less digits than its factorization.

32305666964688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44136386 (or 44136377 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 32305666964688 in words is "thirty-two trillion, three hundred five billion, six hundred sixty-six million, nine hundred sixty-four thousand, six hundred eighty-eight".