33980511276768 has 96 divisors (see below), whose sum is σ = 102566942343936. Its totient is φ = 9649154792448.

The previous prime is 33980511276757. The next prime is 33980511276773. The reversal of 33980511276768 is 86767211508933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 33980511276699 and 33980511276708.

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, 155001621 + ... + 155220692.

It is an arithmetic number, because the mean of its divisors is an integer number (1068405649416).

Almost surely, 2^{33980511276768} is an apocalyptic number.

It is an amenable number.

33980511276768 is an abundant number, since it is smaller than the sum of its proper divisors (68586431067168).

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

33980511276768 is a wasteful number, since it uses less digits than its factorization.

33980511276768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310222496 (or 310222488 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 33980511276768 in words is "thirty-three trillion, nine hundred eighty billion, five hundred eleven million, two hundred seventy-six thousand, seven hundred sixty-eight".