78678810169344 has 3120 divisors, whose sum is σ = 311468172410304. Its totient is φ = 19664496230400.

The previous prime is 78678810169313. The next prime is 78678810169387. The reversal of 78678810169344 is 44396101887687.

78678810169344 is a `hidden beast` number, since 7 + 86 + 78 + 81 + 0 + 1 + 69 + 344 = 666.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1077791920092 + ... + 1077791920164.

Almost surely, 2^{78678810169344} 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 78678810169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155734086205152).

78678810169344 is an abundant number, since it is smaller than the sum of its proper divisors (232789362240960).

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

78678810169344 is an frugal number, since it uses more digits than its factorization.

78678810169344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 78678810169344 in words is "seventy-eight trillion, six hundred seventy-eight billion, eight hundred ten million, one hundred sixty-nine thousand, three hundred forty-four".