767968096896 has 2160 divisors, whose sum is σ = 3251841218010. Its totient is φ = 178188595200.

The previous prime is 767968096807. The next prime is 767968096919. The reversal of 767968096896 is 698690869767.

It can be written as a sum of positive squares in only one way, i.e., 738430862400 + 29537234496 = 859320^2 + 171864^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 24773164401 + ... + 24773164431.

Almost surely, 2^767968096896 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 767968096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625920609005).

767968096896 is an abundant number, since it is smaller than the sum of its proper divisors (2483873121114).

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

767968096896 is a wasteful number, since it uses less digits than its factorization.

767968096896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 767968096896 in words is "seven hundred sixty-seven billion, nine hundred sixty-eight million, ninety-six thousand, eight hundred ninety-six".