6000451600 has 240 divisors, whose sum is σ = 17676618624. Its totient is φ = 1926144000.

The previous prime is 6000451573. The next prime is 6000451603. The reversal of 6000451600 is 61540006.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (6000451603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313320 + ... + 1317880.

Almost surely, 2^6000451600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838309312).

6000451600 is an abundant number, since it is smaller than the sum of its proper divisors (11676167024).

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

6000451600 is a wasteful number, since it uses less digits than its factorization.

6000451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 6000451600 is about 77462.5819347638. The cubic root of 6000451600 is about 1817.1661812250.

Adding to 6000451600 its reverse (61540006), we get a palindrome (6061991606).

The spelling of 6000451600 in words is "six billion, four hundred fifty-one thousand, six hundred".