2327764216800 has 432 divisors, whose sum is σ = 8553426514416. Its totient is φ = 549052416000.

The previous prime is 2327764216783. The next prime is 2327764216819. The reversal of 2327764216800 is 86124677232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2327764216800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10636480 + ... + 10853120.

It is an arithmetic number, because the mean of its divisors is an integer number (19799598413).

Almost surely, 2^{2327764216800} is an apocalyptic number.

2327764216800 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 2327764216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276713257208).

2327764216800 is an abundant number, since it is smaller than the sum of its proper divisors (6225662297616).

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

2327764216800 is a wasteful number, since it uses less digits than its factorization.

2327764216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216723 (or 216699 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2327764216800 in words is "two trillion, three hundred twenty-seven billion, seven hundred sixty-four million, two hundred sixteen thousand, eight hundred".