2832324068400 has 240 divisors, whose sum is σ = 9192960196224. Its totient is φ = 745335152640.

The previous prime is 2832324068383. The next prime is 2832324068407. The reversal of 2832324068400 is 48604232382.

It is a happy number.

It is a Cunningham number, because it is equal to 1682951²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2832324068407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40355739 + ... + 40425861.

Almost surely, 2^{2832324068400} is an apocalyptic number.

2832324068400 is a gapful number since it is divisible by the number (20) 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 2832324068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480098112).

2832324068400 is an abundant number, since it is smaller than the sum of its proper divisors (6360636127824).

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

2832324068400 is a wasteful number, since it uses less digits than its factorization.

2832324068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70588 (or 70577 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 2832324068400 in words is "two trillion, eight hundred thirty-two billion, three hundred twenty-four million, sixty-eight thousand, four hundred".