6133622040 has 384 divisors, whose sum is σ = 25041744000. Its totient is φ = 1293788160.

The previous prime is 6133621969. The next prime is 6133622051. The reversal of 6133622040 is 402263316.

6133622040 is a `hidden beast` number, since 6 + 1 + 33 + 622 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6133621995 and 6133622013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1603330 + ... + 1607150.

It is an arithmetic number, because the mean of its divisors is an integer number (65212875).

Almost surely, 2^6133622040 is an apocalyptic number.

6133622040 is a gapful number since it is divisible by the number (60) 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 6133622040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520872000).

6133622040 is an abundant number, since it is smaller than the sum of its proper divisors (18908121960).

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

6133622040 is a wasteful number, since it uses less digits than its factorization.

6133622040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6133622040 is about 78317.4440338805. Note that the first 3 decimals coincide. The cubic root of 6133622040 is about 1830.5109743952.

Adding to 6133622040 its reverse (402263316), we get a palindrome (6535885356).

The spelling of 6133622040 in words is "six billion, one hundred thirty-three million, six hundred twenty-two thousand, forty".