10238084640 has 768 divisors, whose sum is σ = 43777843200. Its totient is φ = 2182754304.

The previous prime is 10238084609. The next prime is 10238084669. The reversal of 10238084640 is 4648083201.

10238084640 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 0 + 8 + 4 + 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 = 10238084595 and 10238084604.

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 127 ways as a sum of consecutive naturals, for example, 59179594 + ... + 59179766.

It is an arithmetic number, because the mean of its divisors is an integer number (57002400).

Almost surely, 2^10238084640 is an apocalyptic number.

10238084640 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 10238084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888921600).

10238084640 is an abundant number, since it is smaller than the sum of its proper divisors (33539758560).

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

10238084640 is a wasteful number, since it uses less digits than its factorization.

10238084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10238084640 in words is "ten billion, two hundred thirty-eight million, eighty-four thousand, six hundred forty".