33969934640772 has 192 divisors, whose sum is σ = 96130824832000. Its totient is φ = 10310801319936.

The previous prime is 33969934640743. The next prime is 33969934640813. The reversal of 33969934640772 is 27704643996933.

33969934640772 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 9 + 93 + 464 + 0 + 7 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 33969934640772.

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, 125088528 + ... + 125359800.

Almost surely, 2^{33969934640772} 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 33969934640772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48065412416000).

33969934640772 is an abundant number, since it is smaller than the sum of its proper divisors (62160890191228).

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

33969934640772 is a wasteful number, since it uses less digits than its factorization.

33969934640772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272507 (or 272499 counting only the distinct ones).

The product of its (nonzero) digits is 1111065984, while the sum is 72.

The spelling of 33969934640772 in words is "thirty-three trillion, nine hundred sixty-nine billion, nine hundred thirty-four million, six hundred forty thousand, seven hundred seventy-two".