2378263680000 has 1100 divisors, whose sum is σ = 9559980092740. Its totient is φ = 585252864000.

The previous prime is 2378263679983. The next prime is 2378263680029. The reversal of 2378263680000 is 863628732.

2378263680000 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 2 + 636 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2366969942016 + 11293737984 = 1538496^2 + 106272^2 .

It is a super-2 number, since 2×2378263680000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 99 ways as a sum of consecutive naturals, for example, 673918236 + ... + 673921764.

Almost surely, 2^{2378263680000} is an apocalyptic number.

2378263680000 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 2378263680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779990046370).

2378263680000 is an abundant number, since it is smaller than the sum of its proper divisors (7181716412740).

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

2378263680000 is an equidigital number, since it uses as much as digits as its factorization.

2378263680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2378263680000 in words is "two trillion, three hundred seventy-eight billion, two hundred sixty-three million, six hundred eighty thousand".