6728506290 has 288 divisors, whose sum is σ = 20913984000. Its totient is φ = 1494028800.

The previous prime is 6728506283. The next prime is 6728506307. The reversal of 6728506290 is 926058276.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6413686 + ... + 6414734.

It is an arithmetic number, because the mean of its divisors is an integer number (72618000).

Almost surely, 2^6728506290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6728506290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992000).

6728506290 is an abundant number, since it is smaller than the sum of its proper divisors (14185477710).

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

6728506290 is a wasteful number, since it uses less digits than its factorization.

6728506290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6728506290 is about 82027.4727758938. The cubic root of 6728506290 is about 1887.8734880112.

The spelling of 6728506290 in words is "six billion, seven hundred twenty-eight million, five hundred six thousand, two hundred ninety".