78029046180864 has 528 divisors, whose sum is σ = 253094879232000. Its totient is φ = 23008575356928.

The previous prime is 78029046180821. The next prime is 78029046180901. The reversal of 78029046180864 is 46808164092087.

78029046180864 is a `hidden beast` number, since 7 + 8 + 0 + 2 + 9 + 0 + 4 + 618 + 0 + 8 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377946337 + ... + 378152735.

Almost surely, 2^{78029046180864} 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 78029046180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126547439616000).

78029046180864 is an abundant number, since it is smaller than the sum of its proper divisors (175065833051136).

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

78029046180864 is a wasteful number, since it uses less digits than its factorization.

78029046180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206588 (or 206567 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 78029046180864 in words is "seventy-eight trillion, twenty-nine billion, forty-six million, one hundred eighty thousand, eight hundred sixty-four".