10004273640 has 192 divisors, whose sum is σ = 33692630400. Its totient is φ = 2572816896.

The previous prime is 10004273627. The next prime is 10004273651. The reversal of 10004273640 is 4637240001.

10004273640 is a `hidden beast` number, since 10 + 0 + 0 + 4 + 2 + 7 + 3 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121277 + ... + 1130163.

It is an arithmetic number, because the mean of its divisors is an integer number (175482450).

Almost surely, 2^10004273640 is an apocalyptic number.

10004273640 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 10004273640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846315200).

10004273640 is an abundant number, since it is smaller than the sum of its proper divisors (23688356760).

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

10004273640 is a wasteful number, since it uses less digits than its factorization.

10004273640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10004273640 in words is "ten billion, four million, two hundred seventy-three thousand, six hundred forty".