73278081967968 has 72 divisors (see below), whose sum is σ = 208399649578848. Its totient is φ = 24424256892672.

The previous prime is 73278081967949. The next prime is 73278081967997. The reversal of 73278081967968 is 86976918087237.

73278081967968 is a `hidden beast` number, since 7 + 327 + 8 + 0 + 81 + 96 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (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, 5237671 + ... + 13190502.

It is an arithmetic number, because the mean of its divisors is an integer number (2894439577484).

Almost surely, 2^{73278081967968} is an apocalyptic number.

It is an amenable number.

73278081967968 is an abundant number, since it is smaller than the sum of its proper divisors (135121567610880).

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

73278081967968 is a wasteful number, since it uses less digits than its factorization.

73278081967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441996 (or 18441985 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 73278081967968 in words is "seventy-three trillion, two hundred seventy-eight billion, eighty-one million, nine hundred sixty-seven thousand, nine hundred sixty-eight".