6145727616 has 192 divisors, whose sum is σ = 20290345920. Its totient is φ = 1749067776.

The previous prime is 6145727611. The next prime is 6145727617. The reversal of 6145727616 is 6167275416.

6145727616 is a `hidden beast` number, since 6 + 1 + 4 + 5 + 7 + 27 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6145727611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280766 + ... + 2283458.

It is an arithmetic number, because the mean of its divisors is an integer number (105678885).

Almost surely, 2^6145727616 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 6145727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145172960).

6145727616 is an abundant number, since it is smaller than the sum of its proper divisors (14144618304).

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

6145727616 is a wasteful number, since it uses less digits than its factorization.

6145727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2988 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 6145727616 is about 78394.6912488339. The cubic root of 6145727616 is about 1831.7144409767.

The spelling of 6145727616 in words is "six billion, one hundred forty-five million, seven hundred twenty-seven thousand, six hundred sixteen".