10307668886640 has 960 divisors, whose sum is σ = 39416970902400. Its totient is φ = 2491728003072.

The previous prime is 10307668886549. The next prime is 10307668886663. The reversal of 10307668886640 is 4668886670301.

10307668886640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4878214224 + ... + 4878216336.

It is an arithmetic number, because the mean of its divisors is an integer number (41059344690).

Almost surely, 2^{10307668886640} is an apocalyptic number.

10307668886640 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 10307668886640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19708485451200).

10307668886640 is an abundant number, since it is smaller than the sum of its proper divisors (29109302015760).

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

10307668886640 is a wasteful number, since it uses less digits than its factorization.

10307668886640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 10307668886640 in words is "ten trillion, three hundred seven billion, six hundred sixty-eight million, eight hundred eighty-six thousand, six hundred forty".