33981746872320 has 1152 divisors, whose sum is σ = 134292712460400. Its totient is φ = 7923384188928.

The previous prime is 33981746872309. The next prime is 33981746872321. The reversal of 33981746872320 is 2327864718933.

33981746872320 is a `hidden beast` number, since 3 + 3 + 9 + 81 + 7 + 468 + 72 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33981746872321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4734808572 + ... + 4734815748.

Almost surely, 2^{33981746872320} is an apocalyptic number.

33981746872320 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 33981746872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67146356230200).

33981746872320 is an abundant number, since it is smaller than the sum of its proper divisors (100310965588080).

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

33981746872320 is a wasteful number, since it uses less digits than its factorization.

33981746872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 33981746872320 in words is "thirty-three trillion, nine hundred eighty-one billion, seven hundred forty-six million, eight hundred seventy-two thousand, three hundred twenty".