768259147840 has 28 divisors (see below), whose sum is σ = 1829417096556. Its totient is φ = 307303659008.

The previous prime is 768259147819. The next prime is 768259147841. The reversal of 768259147840 is 48741952867.

It can be written as a sum of positive squares in 2 ways, for example, as 471661274176 + 296597873664 = 686776^2 + 544608^2 .

It is not an unprimeable number, because it can be changed into a prime (768259147841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1200404599 + ... + 1200405238.

It is an arithmetic number, because the mean of its divisors is an integer number (65336324877).

Almost surely, 2^768259147840 is an apocalyptic number.

It is an amenable number.

768259147840 is an abundant number, since it is smaller than the sum of its proper divisors (1061157948716).

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

768259147840 is a wasteful number, since it uses less digits than its factorization.

768259147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400809854 (or 2400809844 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 768259147840 in words is "seven hundred sixty-eight billion, two hundred fifty-nine million, one hundred forty-seven thousand, eight hundred forty".