6028477228800 has 3240 divisors, whose sum is σ = 26711214591600. Its totient is φ = 1329598955520.

The previous prime is 6028477228789. The next prime is 6028477228853. The reversal of 6028477228800 is 88227748206.

6028477228800 is a `hidden beast` number, since 60 + 284 + 7 + 7 + 228 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 67735699156 + ... + 67735699244.

Almost surely, 2^{6028477228800} is an apocalyptic number.

6028477228800 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 6028477228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355607295800).

6028477228800 is an abundant number, since it is smaller than the sum of its proper divisors (20682737362800).

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

6028477228800 is a wasteful number, since it uses less digits than its factorization.

6028477228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 6028477228800 in words is "six trillion, twenty-eight billion, four hundred seventy-seven million, two hundred twenty-eight thousand, eight hundred".