6221646400 has 84 divisors (see below), whose sum is σ = 16209747108. Its totient is φ = 2342256640.

The previous prime is 6221646391. The next prime is 6221646407. The reversal of 6221646400 is 46461226.

It can be written as a sum of positive squares in 6 ways, for example, as 627803136 + 5593843264 = 25056^2 + 74792^2 .

It is not an unprimeable number, because it can be changed into a prime (6221646407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87169 + ... + 141568.

Almost surely, 2^6221646400 is an apocalyptic number.

It is an amenable number.

6221646400 is an abundant number, since it is smaller than the sum of its proper divisors (9988100708).

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

6221646400 is a wasteful number, since it uses less digits than its factorization.

6221646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228776 (or 228761 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6221646400 is about 78877.4137507056. The cubic root of 6221646400 is about 1839.2260450091.

The spelling of 6221646400 in words is "six billion, two hundred twenty-one million, six hundred forty-six thousand, four hundred".