823628184422400 has 6048 divisors, whose sum is σ = 3745607890752000. Its totient is φ = 178786389196800.

The previous prime is 823628184422399. The next prime is 823628184422441. The reversal of 823628184422400 is 4224481826328.

It is a happy number.

823628184422400 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 281 + 84 + 42 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 4138835097501 + ... + 4138835097699.

It is an arithmetic number, because the mean of its divisors is an integer number (619313474000).

Almost surely, 2^{823628184422400} is an apocalyptic number.

823628184422400 is a gapful number since it is divisible by the number (80) 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 823628184422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872803945376000).

823628184422400 is an abundant number, since it is smaller than the sum of its proper divisors (2921979706329600).

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

823628184422400 is a wasteful number, since it uses less digits than its factorization.

823628184422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 823628184422400 in words is "eight hundred twenty-three trillion, six hundred twenty-eight billion, one hundred eighty-four million, four hundred twenty-two thousand, four hundred".