10009592640 has 336 divisors, whose sum is σ = 36220773888. Its totient is φ = 2532237312.

The previous prime is 10009592627. The next prime is 10009592651. The reversal of 10009592640 is 4629590001.

10009592640 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 5 + 9 + 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 = 10009592595 and 10009592604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9074329 + ... + 9075431.

Almost surely, 2^10009592640 is an apocalyptic number.

10009592640 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 10009592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110386944).

10009592640 is an abundant number, since it is smaller than the sum of its proper divisors (26211181248).

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

10009592640 is a wasteful number, since it uses less digits than its factorization.

10009592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10009592640 in words is "ten billion, nine million, five hundred ninety-two thousand, six hundred forty".