768173414400 has 1440 divisors, whose sum is σ = 3326682078720. Its totient is φ = 171541463040.

The previous prime is 768173414399. The next prime is 768173414413. The reversal of 768173414400 is 4414371867.

768173414400 is a `hidden beast` number, since 7 + 68 + 173 + 4 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1364428519 + ... + 1364429081.

It is an arithmetic number, because the mean of its divisors is an integer number (2310195888).

Almost surely, 2^768173414400 is an apocalyptic number.

768173414400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768173414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663341039360).

768173414400 is an abundant number, since it is smaller than the sum of its proper divisors (2558508664320).

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

768173414400 is a wasteful number, since it uses less digits than its factorization.

768173414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 768173414400 in words is "seven hundred sixty-eight billion, one hundred seventy-three million, four hundred fourteen thousand, four hundred".