6873658008 has 256 divisors, whose sum is σ = 21835008000. Its totient is φ = 1756913664.

The previous prime is 6873657997. The next prime is 6873658009. The reversal of 6873658008 is 8008563786.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873658009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17669878 + ... + 17670266.

It is an arithmetic number, because the mean of its divisors is an integer number (85293000).

Almost surely, 2^6873658008 is an apocalyptic number.

6873658008 is a gapful number since it is divisible by the number (68) 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 6873658008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917504000).

6873658008 is an abundant number, since it is smaller than the sum of its proper divisors (14961349992).

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

6873658008 is a wasteful number, since it uses less digits than its factorization.

6873658008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 6873658008 is about 82907.5268476874. The cubic root of 6873658008 is about 1901.3525003472.

The spelling of 6873658008 in words is "six billion, eight hundred seventy-three million, six hundred fifty-eight thousand, eight".