6871928700 has 648 divisors, whose sum is σ = 26528218752. Its totient is φ = 1344245760.

The previous prime is 6871928699. The next prime is 6871928719. The reversal of 6871928700 is 78291786.

It is a self number, because there is not a number n which added to its sum of digits gives 6871928700.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 102566067 + ... + 102566133.

Almost surely, 2^6871928700 is an apocalyptic number.

6871928700 is a gapful number since it is divisible by the number (60) 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 6871928700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264109376).

6871928700 is an abundant number, since it is smaller than the sum of its proper divisors (19656290052).

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

6871928700 is a wasteful number, since it uses less digits than its factorization.

6871928700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 6871928700 is about 82897.0970541188. The cubic root of 6871928700 is about 1901.1930364992.

The spelling of 6871928700 in words is "six billion, eight hundred seventy-one million, nine hundred twenty-eight thousand, seven hundred".