6230822400 has 720 divisors, whose sum is σ = 25306974000. Its totient is φ = 1500364800.

The previous prime is 6230822393. The next prime is 6230822413. The reversal of 6230822400 is 42280326.

6230822400 is a `hidden beast` number, since 6 + 230 + 8 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41817526 + ... + 41817674.

It is an arithmetic number, because the mean of its divisors is an integer number (35148575).

Almost surely, 2^6230822400 is an apocalyptic number.

6230822400 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 6230822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653487000).

6230822400 is an abundant number, since it is smaller than the sum of its proper divisors (19076151600).

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

6230822400 is a wasteful number, since it uses less digits than its factorization.

6230822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6230822400 is about 78935.5585271936. The cubic root of 6230822400 is about 1840.1297955068.

The spelling of 6230822400 in words is "six billion, two hundred thirty million, eight hundred twenty-two thousand, four hundred".