823412736000 has 480 divisors, whose sum is σ = 3044908863360. Its totient is φ = 219561984000.

The previous prime is 823412735963. The next prime is 823412736001. The reversal of 823412736000 is 637214328.

It is a happy number.

823412736000 is a `hidden beast` number, since 8 + 2 + 3 + 41 + 2 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (823412736001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55288555 + ... + 55303445.

It is an arithmetic number, because the mean of its divisors is an integer number (6343560132).

Almost surely, 2^823412736000 is an apocalyptic number.

823412736000 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 823412736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522454431680).

823412736000 is an abundant number, since it is smaller than the sum of its proper divisors (2221496127360).

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

823412736000 is an equidigital number, since it uses as much as digits as its factorization.

823412736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14943 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 823412736000 in words is "eight hundred twenty-three billion, four hundred twelve million, seven hundred thirty-six thousand".