6128347680 has 1152 divisors, whose sum is σ = 28668245760. Its totient is φ = 1207664640.

The previous prime is 6128347679. The next prime is 6128347681. The reversal of 6128347680 is 867438216.

It is an interprime number because it is at equal distance from previous prime (6128347679) and next prime (6128347681).

It is a super-2 number, since 2×6128347680² = 75113290573922764800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6128347681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46781215 + ... + 46781345.

It is an arithmetic number, because the mean of its divisors is an integer number (24885630).

Almost surely, 2^6128347680 is an apocalyptic number.

6128347680 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 6128347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334122880).

6128347680 is an abundant number, since it is smaller than the sum of its proper divisors (22539898080).

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

6128347680 is a wasteful number, since it uses less digits than its factorization.

6128347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6128347680 is about 78283.7638338883. The cubic root of 6128347680 is about 1829.9861326549.

The spelling of 6128347680 in words is "six billion, one hundred twenty-eight million, three hundred forty-seven thousand, six hundred eighty".