10170800640 has 1600 divisors, whose sum is σ = 49909305600. Its totient is φ = 1950842880.

The previous prime is 10170800617. The next prime is 10170800659. The reversal of 10170800640 is 4600807101.

It is a happy number.

10170800640 is a `hidden beast` number, since 1 + 0 + 17 + 0 + 8 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 782369274 + ... + 782369286.

It is an arithmetic number, because the mean of its divisors is an integer number (31193316).

Almost surely, 2^10170800640 is an apocalyptic number.

10170800640 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 10170800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24954652800).

10170800640 is an abundant number, since it is smaller than the sum of its proper divisors (39738504960).

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

10170800640 is an equidigital number, since it uses as much as digits as its factorization.

10170800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10170800640 in words is "ten billion, one hundred seventy million, eight hundred thousand, six hundred forty".