821622146400 has 432 divisors, whose sum is σ = 3162684169008. Its totient is φ = 199051776000.

The previous prime is 821622146383. The next prime is 821622146407. The reversal of 821622146400 is 4641226128.

821622146400 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 2 + 2 + 1 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821622146407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188573022 + ... + 188577378.

It is an arithmetic number, because the mean of its divisors is an integer number (7321028169).

Almost surely, 2^821622146400 is an apocalyptic number.

821622146400 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 821622146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581342084504).

821622146400 is an abundant number, since it is smaller than the sum of its proper divisors (2341062022608).

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

821622146400 is a wasteful number, since it uses less digits than its factorization.

821622146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 821622146400 in words is "eight hundred twenty-one billion, six hundred twenty-two million, one hundred forty-six thousand, four hundred".