6687457280 has 320 divisors, whose sum is σ = 19824861780. Its totient is φ = 2157969408.

The previous prime is 6687457213. The next prime is 6687457289. The reversal of 6687457280 is 827547866.

It can be written as a sum of positive squares in 2 ways, for example, as 6648119296 + 39337984 = 81536^2 + 6272^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (6687457289) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393379832 + ... + 393379848.

Almost surely, 2^6687457280 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 6687457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9912430890).

6687457280 is an abundant number, since it is smaller than the sum of its proper divisors (13137404500).

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

6687457280 is an frugal number, since it uses more digits than its factorization.

6687457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The square root of 6687457280 is about 81776.8749708620. The cubic root of 6687457280 is about 1884.0264990871.

The spelling of 6687457280 in words is "six billion, six hundred eighty-seven million, four hundred fifty-seven thousand, two hundred eighty".