10006807040 has 160 divisors (see below), whose sum is σ = 24675938496. Its totient is φ = 3890298880.

The previous prime is 10006807003. The next prime is 10006807079. The reversal of 10006807040 is 4070860001.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17773799 + ... + 17774361.

Almost surely, 2^10006807040 is an apocalyptic number.

10006807040 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 10006807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337969248).

10006807040 is an abundant number, since it is smaller than the sum of its proper divisors (14669131456).

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

10006807040 is an equidigital number, since it uses as much as digits as its factorization.

10006807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 10006807040 in words is "ten billion, six million, eight hundred seven thousand, forty".