33968767064376 has 64 divisors (see below), whose sum is σ = 87683687377920. Its totient is φ = 10954872668160.

The previous prime is 33968767064363. The next prime is 33968767064413. The reversal of 33968767064376 is 67346076786933.

It is a junction number, because it is equal to n+sod(n) for n = 33968767064298 and 33968767064307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2900425 + ... + 8737848.

It is an arithmetic number, because the mean of its divisors is an integer number (1370057615280).

Almost surely, 2^{33968767064376} is an apocalyptic number.

It is an amenable number.

33968767064376 is an abundant number, since it is smaller than the sum of its proper divisors (53714920313544).

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

33968767064376 is a wasteful number, since it uses less digits than its factorization.

33968767064376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11642236 (or 11642232 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 75.

The spelling of 33968767064376 in words is "thirty-three trillion, nine hundred sixty-eight billion, seven hundred sixty-seven million, sixty-four thousand, three hundred seventy-six".