6687717120 has 432 divisors, whose sum is σ = 26631521280. Its totient is φ = 1517838336.

The previous prime is 6687717077. The next prime is 6687717139. The reversal of 6687717120 is 217177866.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19272787 + ... + 19273133.

It is an arithmetic number, because the mean of its divisors is an integer number (61647040).

Almost surely, 2^6687717120 is an apocalyptic number.

6687717120 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 6687717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315760640).

6687717120 is an abundant number, since it is smaller than the sum of its proper divisors (19943804160).

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

6687717120 is a wasteful number, since it uses less digits than its factorization.

6687717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 6687717120 is about 81778.4636686212. The cubic root of 6687717120 is about 1884.0508999460.

The spelling of 6687717120 in words is "six billion, six hundred eighty-seven million, seven hundred seventeen thousand, one hundred twenty".