32949904864 has 48 divisors (see below), whose sum is σ = 67156689600. Its totient is φ = 15895079424.

The previous prime is 32949904859. The next prime is 32949904913. The reversal of 32949904864 is 46840994923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 32949904799 and 32949904808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1313689 + ... + 1338535.

It is an arithmetic number, because the mean of its divisors is an integer number (1399097700).

Almost surely, 2^32949904864 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 32949904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578344800).

32949904864 is an abundant number, since it is smaller than the sum of its proper divisors (34206784736).

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

32949904864 is a wasteful number, since it uses less digits than its factorization.

32949904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26315 (or 26307 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 32949904864 in words is "thirty-two billion, nine hundred forty-nine million, nine hundred four thousand, eight hundred sixty-four".