10000841760 has 576 divisors, whose sum is σ = 42347515392. Its totient is φ = 2092843008.

The previous prime is 10000841713. The next prime is 10000841779. The reversal of 10000841760 is 6714800001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21883452 + ... + 21883908.

It is an arithmetic number, because the mean of its divisors is an integer number (73519992).

Almost surely, 2^10000841760 is an apocalyptic number.

10000841760 is a gapful number since it is divisible by the number (10) 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 10000841760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173757696).

10000841760 is an abundant number, since it is smaller than the sum of its proper divisors (32346673632).

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

10000841760 is a wasteful number, since it uses less digits than its factorization.

10000841760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10000841760 in words is "ten billion, eight hundred forty-one thousand, seven hundred sixty".