768121044919200 has 12096 divisors, whose sum is σ = 3957525934129152. Its totient is φ = 141539224780800.

The previous prime is 768121044919141. The next prime is 768121044919229. The reversal of 768121044919200 is 2919440121867.

768121044919200 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 2 + 1 + 0 + 449 + 192 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2015 ways as a sum of consecutive naturals, for example, 17863280114379 + ... + 17863280114421.

It is an arithmetic number, because the mean of its divisors is an integer number (327176416512).

Almost surely, 2^{768121044919200} is an apocalyptic number.

768121044919200 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 768121044919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978762967064576).

768121044919200 is an abundant number, since it is smaller than the sum of its proper divisors (3189404889209952).

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

768121044919200 is a wasteful number, since it uses less digits than its factorization.

768121044919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 768121044919200 in words is "seven hundred sixty-eight trillion, one hundred twenty-one billion, forty-four million, nine hundred nineteen thousand, two hundred".