10006794432 has 168 divisors, whose sum is σ = 30038584576. Its totient is φ = 3302684928.

The previous prime is 10006794419. The next prime is 10006794503. The reversal of 10006794432 is 23449760001.

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

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 23 ways as a sum of consecutive naturals, for example, 1598733 + ... + 1604979.

Almost surely, 2^10006794432 is an apocalyptic number.

10006794432 is a gapful number since it is divisible by the number (12) 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 10006794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019292288).

10006794432 is an abundant number, since it is smaller than the sum of its proper divisors (20031790144).

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

10006794432 is an equidigital number, since it uses as much as digits as its factorization.

10006794432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10006794432 in words is "ten billion, six million, seven hundred ninety-four thousand, four hundred thirty-two".