33664115160 has 640 divisors, whose sum is σ = 126066124800. Its totient is φ = 8006169600.

The previous prime is 33664115087. The next prime is 33664115161. The reversal of 33664115160 is 6151146633.

33664115160 is a `hidden beast` number, since 3 + 3 + 6 + 641 + 1 + 5 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×33664115160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33664115161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 222941085 + ... + 222941235.

It is an arithmetic number, because the mean of its divisors is an integer number (196978320).

Almost surely, 2^33664115160 is an apocalyptic number.

33664115160 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 33664115160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63033062400).

33664115160 is an abundant number, since it is smaller than the sum of its proper divisors (92402009640).

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

33664115160 is a wasteful number, since it uses less digits than its factorization.

33664115160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 33664115160 in words is "thirty-three billion, six hundred sixty-four million, one hundred fifteen thousand, one hundred sixty".