6097728000 has 640 divisors, whose sum is σ = 25023398400. Its totient is φ = 1282867200.

The previous prime is 6097727929. The next prime is 6097728019. The reversal of 6097728000 is 8277906.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6097728000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471826 + ... + 17472174.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^6097728000 is an apocalyptic number.

6097728000 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 6097728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511699200).

6097728000 is an abundant number, since it is smaller than the sum of its proper divisors (18925670400).

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

6097728000 is a wasteful number, since it uses less digits than its factorization.

6097728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6097728000 is about 78087.9504149008. The cubic root of 6097728000 is about 1826.9332612714.

The spelling of 6097728000 in words is "six billion, ninety-seven million, seven hundred twenty-eight thousand".