6872671825810 has 96 divisors (see below), whose sum is σ = 14624562763008. Its totient is φ = 2318116711680.

The previous prime is 6872671825729. The next prime is 6872671825819. The reversal of 6872671825810 is 185281762786.

It is a happy number.

It is a super-2 number, since 2×6872671825810² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6872671825819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24846087 + ... + 25121173.

It is an arithmetic number, because the mean of its divisors is an integer number (152339195448).

Almost surely, 2^{6872671825810} is an apocalyptic number.

6872671825810 is an abundant number, since it is smaller than the sum of its proper divisors (7751890937198).

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

6872671825810 is a wasteful number, since it uses less digits than its factorization.

6872671825810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275936 (or 275929 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 6872671825810 in words is "six trillion, eight hundred seventy-two billion, six hundred seventy-one million, eight hundred twenty-five thousand, eight hundred ten".