10372416768 has 360 divisors, whose sum is σ = 37217315520. Its totient is φ = 2806824960.

The previous prime is 10372416731. The next prime is 10372416811. The reversal of 10372416768 is 86761427301.

10372416768 is a `hidden beast` number, since 103 + 72 + 416 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2756008 + ... + 2759768.

It is an arithmetic number, because the mean of its divisors is an integer number (103381432).

Almost surely, 2^10372416768 is an apocalyptic number.

10372416768 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 10372416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18608657760).

10372416768 is an abundant number, since it is smaller than the sum of its proper divisors (26844898752).

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

10372416768 is an equidigital number, since it uses as much as digits as its factorization.

10372416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10372416768 in words is "ten billion, three hundred seventy-two million, four hundred sixteen thousand, seven hundred sixty-eight".