6267728160 has 576 divisors, whose sum is σ = 23828732928. Its totient is φ = 1551965184.

The previous prime is 6267728141. The next prime is 6267728167. The reversal of 6267728160 is 618277626.

6267728160 is a `hidden beast` number, since 626 + 7 + 7 + 2 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6267728167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38452239 + ... + 38452401.

It is an arithmetic number, because the mean of its divisors is an integer number (41369328).

Almost surely, 2^6267728160 is an apocalyptic number.

6267728160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6267728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914366464).

6267728160 is an abundant number, since it is smaller than the sum of its proper divisors (17561004768).

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

6267728160 is a wasteful number, since it uses less digits than its factorization.

6267728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6267728160 is about 79168.9848362350. The cubic root of 6267728160 is about 1843.7557345259.

The spelling of 6267728160 in words is "six billion, two hundred sixty-seven million, seven hundred twenty-eight thousand, one hundred sixty".