6870988800 has 864 divisors, whose sum is σ = 28094451840. Its totient is φ = 1592524800.

The previous prime is 6870988777. The next prime is 6870988801. The reversal of 6870988800 is 88890786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6870988801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 185702382 + ... + 185702418.

Almost surely, 2^6870988800 is an apocalyptic number.

6870988800 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 6870988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047225920).

6870988800 is an abundant number, since it is smaller than the sum of its proper divisors (21223463040).

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

6870988800 is a wasteful number, since it uses less digits than its factorization.

6870988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 6870988800 is about 82891.4277835772. The cubic root of 6870988800 is about 1901.1063547301.

The spelling of 6870988800 in words is "six billion, eight hundred seventy million, nine hundred eighty-eight thousand, eight hundred".