6622862400 has 1008 divisors, whose sum is σ = 30495687040. Its totient is φ = 1368576000.

The previous prime is 6622862377. The next prime is 6622862401. The reversal of 6622862400 is 42682266.

6622862400 is a `hidden beast` number, since 6 + 6 + 2 + 28 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (6622862401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36590310 + ... + 36590490.

Almost surely, 2^6622862400 is an apocalyptic number.

6622862400 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 6622862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247843520).

6622862400 is an abundant number, since it is smaller than the sum of its proper divisors (23872824640).

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

6622862400 is a wasteful number, since it uses less digits than its factorization.

6622862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6622862400 is about 81380.9707486953. The cubic root of 6622862400 is about 1877.9408569806.

The spelling of 6622862400 in words is "six billion, six hundred twenty-two million, eight hundred sixty-two thousand, four hundred".