32664648000 has 224 divisors, whose sum is σ = 113537024640. Its totient is φ = 8252006400.

The previous prime is 32664647999. The next prime is 32664648007. The reversal of 32664648000 is 84646623.

It is a self number, because there is not a number n which added to its sum of digits gives 32664648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32664648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420184 + ... + 491816.

Almost surely, 2^32664648000 is an apocalyptic number.

32664648000 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 32664648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56768512320).

32664648000 is an abundant number, since it is smaller than the sum of its proper divisors (80872376640).

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

32664648000 is a wasteful number, since it uses less digits than its factorization.

32664648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71682 (or 71662 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 32664648000 in words is "thirty-two billion, six hundred sixty-four million, six hundred forty-eight thousand".