33668681376 has 384 divisors, whose sum is σ = 105150431232. Its totient is φ = 9326592000.

The previous prime is 33668681363. The next prime is 33668681383. The reversal of 33668681376 is 67318686633.

It is a super-2 number, since 2×33668681376² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73033786 + ... + 73034246.

It is an arithmetic number, because the mean of its divisors is an integer number (273829248).

Almost surely, 2^33668681376 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 33668681376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52575215616).

33668681376 is an abundant number, since it is smaller than the sum of its proper divisors (71481749856).

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

33668681376 is a wasteful number, since it uses less digits than its factorization.

33668681376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 33668681376 in words is "thirty-three billion, six hundred sixty-eight million, six hundred eighty-one thousand, three hundred seventy-six".