10068117696 has 448 divisors, whose sum is σ = 37301017600. Its totient is φ = 2591834112.

The previous prime is 10068117679. The next prime is 10068117701. The reversal of 10068117696 is 69671186001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6760920 + ... + 6762408.

It is an arithmetic number, because the mean of its divisors is an integer number (83261200).

Almost surely, 2^10068117696 is an apocalyptic number.

10068117696 is a gapful number since it is divisible by the number (16) 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 10068117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650508800).

10068117696 is an abundant number, since it is smaller than the sum of its proper divisors (27232899904).

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

10068117696 is a wasteful number, since it uses less digits than its factorization.

10068117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10068117696 in words is "ten billion, sixty-eight million, one hundred seventeen thousand, six hundred ninety-six".