6622466400 has 216 divisors, whose sum is σ = 25475728824. Its totient is φ = 1605427200.

The previous prime is 6622466393. The next prime is 6622466437. The reversal of 6622466400 is 46642266.

6622466400 is a `hidden beast` number, since 6 + 6 + 2 + 2 + 4 + 6 + 640 + 0 = 666.

It is a super-2 number, since 2×6622466400² = 87714122438257920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37392 + ... + 121008.

It is an arithmetic number, because the mean of its divisors is an integer number (117943189).

Almost surely, 2^6622466400 is an apocalyptic number.

6622466400 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 6622466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737864412).

6622466400 is an abundant number, since it is smaller than the sum of its proper divisors (18853262424).

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

6622466400 is a wasteful number, since it uses less digits than its factorization.

6622466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83654 (or 83638 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6622466400 is about 81378.5377111189. The cubic root of 6622466400 is about 1877.9034270720.

The spelling of 6622466400 in words is "six billion, six hundred twenty-two million, four hundred sixty-six thousand, four hundred".