6181216272 has 360 divisors, whose sum is σ = 22547598528. Its totient is φ = 1604655360.

The previous prime is 6181216271. The next prime is 6181216289. The reversal of 6181216272 is 2726121816.

6181216272 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 21 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6181216271) 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 71 ways as a sum of consecutive naturals, for example, 3292198 + ... + 3294074.

Almost surely, 2^6181216272 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 6181216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11273799264).

6181216272 is an abundant number, since it is smaller than the sum of its proper divisors (16366382256).

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

6181216272 is a wasteful number, since it uses less digits than its factorization.

6181216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1900 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 6181216272 is about 78620.7114696884. The cubic root of 6181216272 is about 1835.2334362377.

The spelling of 6181216272 in words is "six billion, one hundred eighty-one million, two hundred sixteen thousand, two hundred seventy-two".