33097640688 has 400 divisors, whose sum is σ = 115230720000. Its totient is φ = 8966909952.

The previous prime is 33097640677. The next prime is 33097640773. The reversal of 33097640688 is 88604679033.

It is a super-2 number, since 2×33097640688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26498688 + ... + 26499936.

It is an arithmetic number, because the mean of its divisors is an integer number (288076800).

Almost surely, 2^33097640688 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 33097640688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615360000).

33097640688 is an abundant number, since it is smaller than the sum of its proper divisors (82133079312).

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

33097640688 is a wasteful number, since it uses less digits than its factorization.

33097640688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 33097640688 in words is "thirty-three billion, ninety-seven million, six hundred forty thousand, six hundred eighty-eight".