6022221004800 has 3840 divisors, whose sum is σ = 31455236736000. Its totient is φ = 1087163596800.

The previous prime is 6022221004777. The next prime is 6022221004823. The reversal of 6022221004800 is 84001222206.

It is a happy number.

6022221004800 is a `hidden beast` number, since 60 + 2 + 2 + 22 + 100 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6022221004777) and next prime (6022221004823).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 354248294392 + ... + 354248294408.

It is an arithmetic number, because the mean of its divisors is an integer number (8191467900).

Almost surely, 2^{6022221004800} is an apocalyptic number.

6022221004800 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 6022221004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727618368000).

6022221004800 is an abundant number, since it is smaller than the sum of its proper divisors (25433015731200).

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

6022221004800 is a wasteful number, since it uses less digits than its factorization.

6022221004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 6022221004800 in words is "six trillion, twenty-two billion, two hundred twenty-one million, four thousand, eight hundred".