6156133632 has 432 divisors, whose sum is σ = 20662387200. Its totient is φ = 1744343040.

The previous prime is 6156133541. The next prime is 6156133637. The reversal of 6156133632 is 2363316516.

6156133632 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 13 + 3 + 632 = 666.

It is a super-2 number, since 2×6156133632² = 75795962590083022848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6156133637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34391719 + ... + 34391897.

It is an arithmetic number, because the mean of its divisors is an integer number (47829600).

Almost surely, 2^6156133632 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 6156133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331193600).

6156133632 is an abundant number, since it is smaller than the sum of its proper divisors (14506253568).

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

6156133632 is a wasteful number, since it uses less digits than its factorization.

6156133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 6156133632 is about 78461.0325703148. The cubic root of 6156133632 is about 1832.7476846143.

The spelling of 6156133632 in words is "six billion, one hundred fifty-six million, one hundred thirty-three thousand, six hundred thirty-two".