67949294976 has 96 divisors (see below), whose sum is σ = 195595634520. Its totient is φ = 22642298880.

The previous prime is 67949294929. The next prime is 67949294983.

67949294976 is a `hidden beast` number, since 6 + 79 + 49 + 29 + 497 + 6 = 666.

67949294976 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4324831 + ... + 4340513.

Almost surely, 2^67949294976 is an apocalyptic number.

It is an amenable number.

67949294976 is an abundant number, since it is smaller than the sum of its proper divisors (127646339544).

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

67949294976 is a wasteful number, since it uses less digits than its factorization.

67949294976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19464 (or 19449 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 67949294976 in words is "sixty-seven billion, nine hundred forty-nine million, two hundred ninety-four thousand, nine hundred seventy-six".