10184912640 has 324 divisors, whose sum is σ = 40994271864. Its totient is φ = 2327851008.

The previous prime is 10184912599. The next prime is 10184912651. The reversal of 10184912640 is 4621948101.

10184912640 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 4 + 9 + 1 + 2 + 640 = 666.

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 = 10184912595 and 10184912604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 555459 + ... + 573501.

Almost surely, 2^10184912640 is an apocalyptic number.

10184912640 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 10184912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20497135932).

10184912640 is an abundant number, since it is smaller than the sum of its proper divisors (30809359224).

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

10184912640 is a wasteful number, since it uses less digits than its factorization.

10184912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18084 (or 18060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10184912640 in words is "ten billion, one hundred eighty-four million, nine hundred twelve thousand, six hundred forty".