2320646380416 has 768 divisors, whose sum is σ = 8337867632640. Its totient is φ = 603250163712.

The previous prime is 2320646380397. The next prime is 2320646380427. The reversal of 2320646380416 is 6140836460232.

2320646380416 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 6 + 4 + 638 + 0 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2689045201 + ... + 2689046063.

It is an arithmetic number, because the mean of its divisors is an integer number (10856598480).

Almost surely, 2^{2320646380416} is an apocalyptic number.

2320646380416 is a gapful number since it is divisible by the number (26) 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 2320646380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168933816320).

2320646380416 is an abundant number, since it is smaller than the sum of its proper divisors (6017221252224).

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

2320646380416 is a wasteful number, since it uses less digits than its factorization.

2320646380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2320646380416 in words is "two trillion, three hundred twenty billion, six hundred forty-six million, three hundred eighty thousand, four hundred sixteen".