32896831968000 has 5760 divisors, whose sum is σ = 170084200366080. Its totient is φ = 6091407360000.

The previous prime is 32896831967983. The next prime is 32896831968023. The reversal of 32896831968000 is 86913869823.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 80432351796 + ... + 80432352204.

It is an arithmetic number, because the mean of its divisors is an integer number (29528507008).

Almost surely, 2^{32896831968000} is an apocalyptic number.

32896831968000 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 32896831968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85042100183040).

32896831968000 is an abundant number, since it is smaller than the sum of its proper divisors (137187368398080).

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

32896831968000 is a wasteful number, since it uses less digits than its factorization.

32896831968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 32896831968000 in words is "thirty-two trillion, eight hundred ninety-six billion, eight hundred thirty-one million, nine hundred sixty-eight thousand".