6870790368 has 288 divisors, whose sum is σ = 22277795904. Its totient is φ = 1992646656.

The previous prime is 6870790351. The next prime is 6870790387. The reversal of 6870790368 is 8630970786.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6285630 + ... + 6286722.

It is an arithmetic number, because the mean of its divisors is an integer number (77353458).

Almost surely, 2^6870790368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6870790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138897952).

6870790368 is an abundant number, since it is smaller than the sum of its proper divisors (15407005536).

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

6870790368 is a wasteful number, since it uses less digits than its factorization.

6870790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6870790368 is about 82890.2308357264. The cubic root of 6870790368 is about 1901.0880534357.

The spelling of 6870790368 in words is "six billion, eight hundred seventy million, seven hundred ninety thousand, three hundred sixty-eight".