78054624065664 has 160 divisors (see below), whose sum is σ = 232395967333200. Its totient is φ = 26006260059648.

The previous prime is 78054624065657. The next prime is 78054624065689. The reversal of 78054624065664 is 46656042645087.

78054624065664 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 4 + 62 + 4 + 0 + 6 + 566 + 4 = 666.

78054624065664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20864379 + ... + 24319365.

Almost surely, 2^{78054624065664} 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 78054624065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116197983666600).

78054624065664 is an abundant number, since it is smaller than the sum of its proper divisors (154341343267536).

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

78054624065664 is a wasteful number, since it uses less digits than its factorization.

78054624065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457192 (or 3457171 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 78054624065664 in words is "seventy-eight trillion, fifty-four billion, six hundred twenty-four million, sixty-five thousand, six hundred sixty-four".