6106629312 has 224 divisors, whose sum is σ = 20937728000. Its totient is φ = 1744581888.

The previous prime is 6106629253. The next prime is 6106629323. The reversal of 6106629312 is 2139266016.

It is a happy number.

6106629312 is a `hidden beast` number, since 6 + 10 + 6 + 629 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587553 + ... + 597855.

It is an arithmetic number, because the mean of its divisors is an integer number (93472000).

Almost surely, 2^6106629312 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 6106629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468864000).

6106629312 is an abundant number, since it is smaller than the sum of its proper divisors (14831098688).

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

6106629312 is a wasteful number, since it uses less digits than its factorization.

6106629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6106629312 is about 78144.9250559497. The cubic root of 6106629312 is about 1827.8217996674.

The spelling of 6106629312 in words is "six billion, one hundred six million, six hundred twenty-nine thousand, three hundred twelve".