32967964848 has 320 divisors, whose sum is σ = 109932963840. Its totient is φ = 8274714624.

The previous prime is 32967964829. The next prime is 32967964873. The reversal of 32967964848 is 84846976923.

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 63 ways as a sum of consecutive naturals, for example, 23005540 + ... + 23006972.

It is an arithmetic number, because the mean of its divisors is an integer number (343540512).

Almost surely, 2^32967964848 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 32967964848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54966481920).

32967964848 is an abundant number, since it is smaller than the sum of its proper divisors (76964998992).

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

32967964848 is a wasteful number, since it uses less digits than its factorization.

32967964848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1710 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 32967964848 in words is "thirty-two billion, nine hundred sixty-seven million, nine hundred sixty-four thousand, eight hundred forty-eight".