10373064768 has 420 divisors, whose sum is σ = 35317054080. Its totient is φ = 3002503680.

The previous prime is 10373064761. The next prime is 10373064769. The reversal of 10373064768 is 86746037301.

10373064768 is a `hidden beast` number, since 103 + 73 + 0 + 6 + 476 + 8 = 666.

It is a super-2 number, since 2×10373064768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10373064761) 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 59 ways as a sum of consecutive naturals, for example, 14426713 + ... + 14427431.

It is an arithmetic number, because the mean of its divisors is an integer number (84088224).

Almost surely, 2^10373064768 is an apocalyptic number.

10373064768 is a gapful number since it is divisible by the number (18) 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 10373064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658527040).

10373064768 is an abundant number, since it is smaller than the sum of its proper divisors (24943989312).

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

10373064768 is a wasteful number, since it uses less digits than its factorization.

10373064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10373064768 in words is "ten billion, three hundred seventy-three million, sixty-four thousand, seven hundred sixty-eight".