6222719916000 has 1728 divisors, whose sum is σ = 28005183984960. Its totient is φ = 1333579161600.

The previous prime is 6222719915939. The next prime is 6222719916001. The reversal of 6222719916000 is 6199172226.

6222719916000 is a `hidden beast` number, since 6 + 2 + 2 + 27 + 19 + 9 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6222719916001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23660531869 + ... + 23660532131.

It is an arithmetic number, because the mean of its divisors is an integer number (16206703695).

Almost surely, 2^{6222719916000} is an apocalyptic number.

6222719916000 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 6222719916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002591992480).

6222719916000 is an abundant number, since it is smaller than the sum of its proper divisors (21782464068960).

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

6222719916000 is a wasteful number, since it uses less digits than its factorization.

6222719916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 6222719916000 in words is "six trillion, two hundred twenty-two billion, seven hundred nineteen million, nine hundred sixteen thousand".