6612428736 has 224 divisors, whose sum is σ = 20287488000. Its totient is φ = 2109348864.

The previous prime is 6612428689. The next prime is 6612428737. The reversal of 6612428736 is 6378242166.

6612428736 is a `hidden beast` number, since 6 + 612 + 4 + 28 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6612428691 and 6612428700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6612428737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6363705 + ... + 6364743.

Almost surely, 2^6612428736 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 6612428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143744000).

6612428736 is an abundant number, since it is smaller than the sum of its proper divisors (13675059264).

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

6612428736 is a wasteful number, since it uses less digits than its factorization.

6612428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1200 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6612428736 is about 81316.8416504232. The cubic root of 6612428736 is about 1876.9541686923.

The spelling of 6612428736 in words is "six billion, six hundred twelve million, four hundred twenty-eight thousand, seven hundred thirty-six".