6226334624400 has 240 divisors, whose sum is σ = 21760220494848. Its totient is φ = 1509274944000.

The previous prime is 6226334624381. The next prime is 6226334624423. The reversal of 6226334624400 is 44264336226.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263024565 + ... + 263048235.

Almost surely, 2^{6226334624400} is an apocalyptic number.

6226334624400 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 6226334624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880110247424).

6226334624400 is an abundant number, since it is smaller than the sum of its proper divisors (15533885870448).

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

6226334624400 is a wasteful number, since it uses less digits than its factorization.

6226334624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43630 (or 43619 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 6226334624400 in words is "six trillion, two hundred twenty-six billion, three hundred thirty-four million, six hundred twenty-four thousand, four hundred".