10368960768 has 72 divisors (see below), whose sum is σ = 30662861600. Its totient is φ = 3456317952.

The previous prime is 10368960761. The next prime is 10368960769. The reversal of 10368960768 is 86706986301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (10368960761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743158 + ... + 756981.

Almost surely, 2^10368960768 is an apocalyptic number.

10368960768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10368960768 is an abundant number, since it is smaller than the sum of its proper divisors (20293900832).

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

10368960768 is an equidigital number, since it uses as much as digits as its factorization.

10368960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500164 (or 1500144 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10368960768 in words is "ten billion, three hundred sixty-eight million, nine hundred sixty thousand, seven hundred sixty-eight".