768664753920 has 1728 divisors, whose sum is σ = 3516279137280. Its totient is φ = 156513337344.

The previous prime is 768664753897. The next prime is 768664753921. The reversal of 768664753920 is 29357466867.

768664753920 is a `hidden beast` number, since 76 + 8 + 6 + 6 + 4 + 7 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768664753921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 703260894 + ... + 703261986.

It is an arithmetic number, because the mean of its divisors is an integer number (2034883760).

Almost surely, 2^768664753920 is an apocalyptic number.

768664753920 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 768664753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758139568640).

768664753920 is an abundant number, since it is smaller than the sum of its proper divisors (2747614383360).

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

768664753920 is a wasteful number, since it uses less digits than its factorization.

768664753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 768664753920 in words is "seven hundred sixty-eight billion, six hundred sixty-four million, seven hundred fifty-three thousand, nine hundred twenty".