10331832768 has 224 divisors, whose sum is σ = 30025482240. Its totient is φ = 3123256320.

The previous prime is 10331832767. The next prime is 10331832781. The reversal of 10331832768 is 86723813301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331832767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11647621 + ... + 11648507.

Almost surely, 2^10331832768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012741120).

10331832768 is an abundant number, since it is smaller than the sum of its proper divisors (19693649472).

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

10331832768 is a wasteful number, since it uses less digits than its factorization.

10331832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10331832768 in words is "ten billion, three hundred thirty-one million, eight hundred thirty-two thousand, seven hundred sixty-eight".