6713820288 has 384 divisors, whose sum is σ = 23096586240. Its totient is φ = 1831680000.

The previous prime is 6713820277. The next prime is 6713820299. The reversal of 6713820288 is 8820283176.

It is an interprime number because it is at equal distance from previous prime (6713820277) and next prime (6713820299).

It is a tau number, because it is divible by the number of its divisors (384).

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, 26748163 + ... + 26748413.

It is an arithmetic number, because the mean of its divisors is an integer number (60147360).

Almost surely, 2^6713820288 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 6713820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

6713820288 is an abundant number, since it is smaller than the sum of its proper divisors (16382765952).

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

6713820288 is a wasteful number, since it uses less digits than its factorization.

6713820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6713820288 is about 81937.9050745136. The cubic root of 6713820288 is about 1886.4989625365.

The spelling of 6713820288 in words is "six billion, seven hundred thirteen million, eight hundred twenty thousand, two hundred eighty-eight".