2663781816000 has 448 divisors, whose sum is σ = 9328526797824. Its totient is φ = 667457536000.

The previous prime is 2663781815971. The next prime is 2663781816011. The reversal of 2663781816000 is 6181873662.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 263970955 + ... + 263981045.

Almost surely, 2^{2663781816000} is an apocalyptic number.

2663781816000 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 2663781816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664263398912).

2663781816000 is an abundant number, since it is smaller than the sum of its proper divisors (6664744981824).

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

2663781816000 is a wasteful number, since it uses less digits than its factorization.

2663781816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 2663781816000 in words is "two trillion, six hundred sixty-three billion, seven hundred eighty-one million, eight hundred sixteen thousand".