33664152960 has 512 divisors, whose sum is σ = 122710896000. Its totient is φ = 8719073280.

The previous prime is 33664152953. The next prime is 33664152961. The reversal of 33664152960 is 6925146633.

33664152960 is a `hidden beast` number, since 3 + 3 + 6 + 64 + 1 + 529 + 60 = 666.

It is a super-2 number, since 2×33664152960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33664152961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114894574 + ... + 114894866.

Almost surely, 2^33664152960 is an apocalyptic number.

33664152960 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 33664152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61355448000).

33664152960 is an abundant number, since it is smaller than the sum of its proper divisors (89046743040).

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

33664152960 is a wasteful number, since it uses less digits than its factorization.

33664152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

It can be divided in two parts, 33664 and 152960, that added together give a square (186624 = 432²).

The spelling of 33664152960 in words is "thirty-three billion, six hundred sixty-four million, one hundred fifty-two thousand, nine hundred sixty".