768144384000 has 1792 divisors, whose sum is σ = 3353141376000. Its totient is φ = 175575859200.

The previous prime is 768144383983. The next prime is 768144384011. The reversal of 768144384000 is 483441867.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (7!)³ ⋅ 3!.

768144384000 is a `hidden beast` number, since 76 + 8 + 144 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 127 ways as a sum of consecutive naturals, for example, 109734911997 + ... + 109734912003.

Almost surely, 2^768144384000 is an apocalyptic number.

768144384000 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 768144384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676570688000).

768144384000 is an abundant number, since it is smaller than the sum of its proper divisors (2584996992000).

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

768144384000 is an frugal number, since it uses more digits than its factorization.

768144384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 768144384000 in words is "seven hundred sixty-eight billion, one hundred forty-four million, three hundred eighty-four thousand".