6027708960 has 960 divisors, whose sum is σ = 27662342400. Its totient is φ = 1200365568.

The previous prime is 6027708949. The next prime is 6027708971. The reversal of 6027708960 is 698077206.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6027708949) and next prime (6027708971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407706 + ... + 22407974.

It is an arithmetic number, because the mean of its divisors is an integer number (28814940).

Almost surely, 2^6027708960 is an apocalyptic number.

6027708960 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 6027708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831171200).

6027708960 is an abundant number, since it is smaller than the sum of its proper divisors (21634633440).

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

6027708960 is a wasteful number, since it uses less digits than its factorization.

6027708960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6027708960 is about 77638.3214656268. The cubic root of 6027708960 is about 1819.9135490071.

The spelling of 6027708960 in words is "six billion, twenty-seven million, seven hundred eight thousand, nine hundred sixty".