6220401868800 has 1920 divisors, whose sum is σ = 27294491136000. Its totient is φ = 1375941427200.

The previous prime is 6220401868783. The next prime is 6220401868823. The reversal of 6220401868800 is 88681040226.

6220401868800 is a `hidden beast` number, since 622 + 0 + 4 + 0 + 18 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200658124785 + ... + 200658124815.

It is an arithmetic number, because the mean of its divisors is an integer number (14215880800).

Almost surely, 2^{6220401868800} is an apocalyptic number.

6220401868800 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 6220401868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647245568000).

6220401868800 is an abundant number, since it is smaller than the sum of its proper divisors (21074089267200).

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

6220401868800 is an frugal number, since it uses more digits than its factorization.

6220401868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 6220401868800 in words is "six trillion, two hundred twenty billion, four hundred one million, eight hundred sixty-eight thousand, eight hundred".