6801125640 has 64 divisors (see below), whose sum is σ = 20411438400. Its totient is φ = 1812916992.

The previous prime is 6801125629. The next prime is 6801125657. The reversal of 6801125640 is 465211086.

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 15 ways as a sum of consecutive naturals, for example, 339339 + ... + 358821.

It is an arithmetic number, because the mean of its divisors is an integer number (318928725).

Almost surely, 2^6801125640 is an apocalyptic number.

6801125640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6801125640 is an abundant number, since it is smaller than the sum of its proper divisors (13610312760).

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

6801125640 is a wasteful number, since it uses less digits than its factorization.

6801125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22406 (or 22402 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 6801125640 is about 82468.9374249481. The cubic root of 6801125640 is about 1894.6410061550.

The spelling of 6801125640 in words is "six billion, eight hundred one million, one hundred twenty-five thousand, six hundred forty".