6222938400 has 864 divisors, whose sum is σ = 27639480960. Its totient is φ = 1333739520.

The previous prime is 6222938377. The next prime is 6222938411. The reversal of 6222938400 is 48392226.

6222938400 is a `hidden beast` number, since 622 + 29 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23133466 + ... + 23133734.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^6222938400 is an apocalyptic number.

6222938400 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 6222938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

6222938400 is an abundant number, since it is smaller than the sum of its proper divisors (21416542560).

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

6222938400 is a wasteful number, since it uses less digits than its factorization.

6222938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6222938400 is about 78885.6032492622. The cubic root of 6222938400 is about 1839.3533486963.

The spelling of 6222938400 in words is "six billion, two hundred twenty-two million, nine hundred thirty-eight thousand, four hundred".