6106447872 has 544 divisors, whose sum is σ = 22649068800. Its totient is φ = 1585446912.

The previous prime is 6106447801. The next prime is 6106447913. The reversal of 6106447872 is 2787446016.

6106447872 is a `hidden beast` number, since 6 + 106 + 4 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-2 number, since 2×6106447872² = 74577411226906656768, which contains 22 as substring.

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, 210567154 + ... + 210567182.

Almost surely, 2^6106447872 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 6106447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324534400).

6106447872 is an abundant number, since it is smaller than the sum of its proper divisors (16542620928).

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

6106447872 is an equidigital number, since it uses as much as digits as its factorization.

6106447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6106447872 is about 78143.7641274081. The cubic root of 6106447872 is about 1827.8036967580.

The spelling of 6106447872 in words is "six billion, one hundred six million, four hundred forty-seven thousand, eight hundred seventy-two".