32682961920 has 352 divisors, whose sum is σ = 120152153088. Its totient is φ = 7427653632.

The previous prime is 32682961919. The next prime is 32682961937. The reversal of 32682961920 is 2916928623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32682961920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21180669 + ... + 21182211.

It is an arithmetic number, because the mean of its divisors is an integer number (341341344).

Almost surely, 2^32682961920 is an apocalyptic number.

32682961920 is a gapful number since it is divisible by the number (30) 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 32682961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60076076544).

32682961920 is an abundant number, since it is smaller than the sum of its proper divisors (87469191168).

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

32682961920 is a wasteful number, since it uses less digits than its factorization.

32682961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 32682961920 in words is "thirty-two billion, six hundred eighty-two million, nine hundred sixty-one thousand, nine hundred twenty".