32992978816 has 64 divisors (see below), whose sum is σ = 75385841760. Its totient is φ = 14089420800.

The previous prime is 32992978801. The next prime is 32992978877. The reversal of 32992978816 is 61887929923.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 186256 + ... + 317296.

Almost surely, 2^32992978816 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 32992978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37692920880).

32992978816 is an abundant number, since it is smaller than the sum of its proper divisors (42392862944).

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

32992978816 is a wasteful number, since it uses less digits than its factorization.

32992978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131343 (or 131331 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 64.

The spelling of 32992978816 in words is "thirty-two billion, nine hundred ninety-two million, nine hundred seventy-eight thousand, eight hundred sixteen".