10641038688 has 480 divisors, whose sum is σ = 38253067776. Its totient is φ = 2835689472.

The previous prime is 10641038687. The next prime is 10641038699. The reversal of 10641038688 is 88683014601.

It is a happy number.

It is a super-2 number, since 2×10641038688² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10641038687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17944120 + ... + 17944712.

Almost surely, 2^10641038688 is an apocalyptic number.

10641038688 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 10641038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126533888).

10641038688 is an abundant number, since it is smaller than the sum of its proper divisors (27612029088).

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

10641038688 is a wasteful number, since it uses less digits than its factorization.

10641038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10641038688 in words is "ten billion, six hundred forty-one million, thirty-eight thousand, six hundred eighty-eight".