32479264944 has 480 divisors, whose sum is σ = 110926233600. Its totient is φ = 8677393920.

The previous prime is 32479264931. The next prime is 32479264963. The reversal of 32479264944 is 44946297423.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145646817 + ... + 145647039.

It is an arithmetic number, because the mean of its divisors is an integer number (231096320).

Almost surely, 2^32479264944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32479264944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55463116800).

32479264944 is an abundant number, since it is smaller than the sum of its proper divisors (78446968656).

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

32479264944 is a wasteful number, since it uses less digits than its factorization.

32479264944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 32479264944 in words is "thirty-two billion, four hundred seventy-nine million, two hundred sixty-four thousand, nine hundred forty-four".