10006375680 has 216 divisors, whose sum is σ = 39567196032. Its totient is φ = 2287153152.

The previous prime is 10006375651. The next prime is 10006375723. The reversal of 10006375680 is 8657360001.

10006375680 is a `hidden beast` number, since 10 + 0 + 0 + 637 + 5 + 6 + 8 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 18597 + ... + 142683.

Almost surely, 2^10006375680 is an apocalyptic number.

10006375680 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 10006375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19783598016).

10006375680 is an abundant number, since it is smaller than the sum of its proper divisors (29560820352).

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

10006375680 is a wasteful number, since it uses less digits than its factorization.

10006375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124121 (or 124104 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10006375680 in words is "ten billion, six million, three hundred seventy-five thousand, six hundred eighty".