6616297728 has 270 divisors, whose sum is σ = 21042696906. Its totient is φ = 2060550144.

The previous prime is 6616297679. The next prime is 6616297741. The reversal of 6616297728 is 8277926166.

6616297728 is a `hidden beast` number, since 6 + 6 + 1 + 629 + 7 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2285604864 + 4330692864 = 47808^2 + 65808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 48294076 + ... + 48294212.

Almost surely, 2^6616297728 is an apocalyptic number.

6616297728 is a gapful number since it is divisible by the number (68) 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 6616297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521348453).

6616297728 is an abundant number, since it is smaller than the sum of its proper divisors (14426399178).

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

6616297728 is an equidigital number, since it uses as much as digits as its factorization.

6616297728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 159 counting only the distinct ones).

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

The square root of 6616297728 is about 81340.6277821852. The cubic root of 6616297728 is about 1877.3201716177.

The spelling of 6616297728 in words is "six billion, six hundred sixteen million, two hundred ninety-seven thousand, seven hundred twenty-eight".