6147145728 has 216 divisors, whose sum is σ = 18511490088. Its totient is φ = 2038431744.

The previous prime is 6147145691. The next prime is 6147145757. The reversal of 6147145728 is 8275417416.

6147145728 is a `hidden beast` number, since 6 + 1 + 4 + 71 + 4 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850400 + ... + 31850592.

It is an arithmetic number, because the mean of its divisors is an integer number (85701343).

Almost surely, 2^6147145728 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 6147145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255745044).

6147145728 is an abundant number, since it is smaller than the sum of its proper divisors (12364344360).

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

6147145728 is an frugal number, since it uses more digits than its factorization.

6147145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 198 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 6147145728 is about 78403.7354212157. The cubic root of 6147145728 is about 1831.8553180554.

The spelling of 6147145728 in words is "six billion, one hundred forty-seven million, one hundred forty-five thousand, seven hundred twenty-eight".