10061644644 has 36 divisors (see below), whose sum is σ = 25685428860. Its totient is φ = 3320673600.

The previous prime is 10061644609. The next prime is 10061644721. The reversal of 10061644644 is 44644616001.

10061644644 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 6 + 4 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7366788900 + 2694855744 = 85830^2 + 51912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10061644599 and 10061644608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1379979 + ... + 1387250.

It is an arithmetic number, because the mean of its divisors is an integer number (713484135).

Almost surely, 2^10061644644 is an apocalyptic number.

It is an amenable number.

10061644644 is an abundant number, since it is smaller than the sum of its proper divisors (15623784216).

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

10061644644 is a wasteful number, since it uses less digits than its factorization.

10061644644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767340 (or 2767335 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10061644644 in words is "ten billion, sixty-one million, six hundred forty-four thousand, six hundred forty-four".