6221090304000 has 2080 divisors, whose sum is σ = 27273788942400. Its totient is φ = 1390804992000.

The previous prime is 6221090303993. The next prime is 6221090304017. The reversal of 6221090304000 is 4030901226.

6221090304000 is a `hidden beast` number, since 6 + 221 + 0 + 9 + 0 + 30 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5930495476 + ... + 5930496524.

It is an arithmetic number, because the mean of its divisors is an integer number (13112398530).

Almost surely, 2^{6221090304000} is an apocalyptic number.

6221090304000 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 6221090304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636894471200).

6221090304000 is an abundant number, since it is smaller than the sum of its proper divisors (21052698638400).

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

6221090304000 is a wasteful number, since it uses less digits than its factorization.

6221090304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 6221090304000 in words is "six trillion, two hundred twenty-one billion, ninety million, three hundred four thousand".