8140200680 has 64 divisors (see below), whose sum is σ = 18829540800. Its totient is φ = 3165258240.

The previous prime is 8140200667. The next prime is 8140200697. The reversal of 8140200680 is 860020418.

It is a super-2 number, since 2×8140200680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455351 + ... + 472889.

It is an arithmetic number, because the mean of its divisors is an integer number (294211575).

Almost surely, 2^8140200680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414770400).

8140200680 is an abundant number, since it is smaller than the sum of its proper divisors (10689340120).

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

8140200680 is a wasteful number, since it uses less digits than its factorization.

8140200680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17874 (or 17870 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8140200680 is about 90223.0606884958. The cubic root of 8140200680 is about 2011.6157960345.

The spelling of 8140200680 in words is "eight billion, one hundred forty million, two hundred thousand, six hundred eighty".