6120271872 has 624 divisors, whose sum is σ = 22039425408. Its totient is φ = 1672151040.

The previous prime is 6120271823. The next prime is 6120271903. The reversal of 6120271872 is 2781720216.

6120271872 is a `hidden beast` number, since 612 + 0 + 27 + 18 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142331883 + ... + 142331925.

It is an arithmetic number, because the mean of its divisors is an integer number (35319592).

Almost surely, 2^6120271872 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 6120271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019712704).

6120271872 is an abundant number, since it is smaller than the sum of its proper divisors (15919153536).

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

6120271872 is a wasteful number, since it uses less digits than its factorization.

6120271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 6120271872 is about 78232.1664790130. The cubic root of 6120271872 is about 1829.1819401913.

The spelling of 6120271872 in words is "six billion, one hundred twenty million, two hundred seventy-one thousand, eight hundred seventy-two".