6316222034400 has 144 divisors (see below), whose sum is σ = 20567635555824. Its totient is φ = 1683643207680.

The previous prime is 6316222034393. The next prime is 6316222034417. The reversal of 6316222034400 is 44302226136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5403102 + ... + 6467298.

It is an arithmetic number, because the mean of its divisors is an integer number (142830802471).

Almost surely, 2^{6316222034400} is an apocalyptic number.

6316222034400 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 6316222034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283817777912).

6316222034400 is an abundant number, since it is smaller than the sum of its proper divisors (14251413521424).

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

6316222034400 is a wasteful number, since it uses less digits than its factorization.

6316222034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066693 (or 1066680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 6316222034400 in words is "six trillion, three hundred sixteen billion, two hundred twenty-two million, thirty-four thousand, four hundred".