10646063124640 has 96 divisors (see below), whose sum is σ = 25345687086720. Its totient is φ = 4225523328000.

The previous prime is 10646063124551. The next prime is 10646063124703. The reversal of 10646063124640 is 4642136064601.

10646063124640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10646063124640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341653381 + ... + 341684539.

It is an arithmetic number, because the mean of its divisors is an integer number (264017573820).

Almost surely, 2^{10646063124640} is an apocalyptic number.

10646063124640 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 10646063124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672843543360).

10646063124640 is an abundant number, since it is smaller than the sum of its proper divisors (14699623962080).

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

10646063124640 is a wasteful number, since it uses less digits than its factorization.

10646063124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47606 (or 47598 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 10646063124640 in words is "ten trillion, six hundred forty-six billion, sixty-three million, one hundred twenty-four thousand, six hundred forty".