6870303605880 has 768 divisors, whose sum is σ = 26989197580800. Its totient is φ = 1493186088960.

The previous prime is 6870303605833. The next prime is 6870303605881. The reversal of 6870303605880 is 885063030786.

It is a happy number.

6870303605880 is a `hidden beast` number, since 68 + 70 + 30 + 360 + 58 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6870303605881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1179043527 + ... + 1179049353.

It is an arithmetic number, because the mean of its divisors is an integer number (35142184350).

Almost surely, 2^{6870303605880} is an apocalyptic number.

6870303605880 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 6870303605880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494598790400).

6870303605880 is an abundant number, since it is smaller than the sum of its proper divisors (20118893974920).

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

6870303605880 is a wasteful number, since it uses less digits than its factorization.

6870303605880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6870303605880 in words is "six trillion, eight hundred seventy billion, three hundred three million, six hundred five thousand, eight hundred eighty".