10006732056840 has 128 divisors (see below), whose sum is σ = 30057446200320. Its totient is φ = 2665152633600.

The previous prime is 10006732056821. The next prime is 10006732056877. The reversal of 10006732056840 is 4865023760001.

10006732056840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10006732056792 and 10006732056801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397537455 + ... + 397562625.

It is an arithmetic number, because the mean of its divisors is an integer number (234823798440).

Almost surely, 2^{10006732056840} is an apocalyptic number.

10006732056840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006732056840 is an abundant number, since it is smaller than the sum of its proper divisors (20050714143480).

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

10006732056840 is a wasteful number, since it uses less digits than its factorization.

10006732056840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29163 (or 29159 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10006732056840 in words is "ten trillion, six billion, seven hundred thirty-two million, fifty-six thousand, eight hundred forty".