6089428800 has 672 divisors, whose sum is σ = 27338528000. Its totient is φ = 1283973120.

The previous prime is 6089428739. The next prime is 6089428823. The reversal of 6089428800 is 88249806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6089428800² = 74162286220538880000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930426 + ... + 3931974.

Almost surely, 2^6089428800 is an apocalyptic number.

6089428800 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 6089428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669264000).

6089428800 is an abundant number, since it is smaller than the sum of its proper divisors (21249099200).

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

6089428800 is a wasteful number, since it uses less digits than its factorization.

6089428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6089428800 is about 78034.7922403847. The cubic root of 6089428800 is about 1826.1040470450.

The spelling of 6089428800 in words is "six billion, eighty-nine million, four hundred twenty-eight thousand, eight hundred".