2427013664000 has 144 divisors (see below), whose sum is σ = 6059260670736. Its totient is φ = 968675328000.

The previous prime is 2427013663939. The next prime is 2427013664003. The reversal of 2427013664000 is 4663107242.

It can be written as a sum of positive squares in 8 ways, for example, as 32839238656 + 2394174425344 = 181216^2 + 1547312^2 .

It is a super-4 number, since 4×2427013664000⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427013664003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14541020 + ... + 14706980.

Almost surely, 2^{2427013664000} is an apocalyptic number.

2427013664000 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 2427013664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029630335368).

2427013664000 is an abundant number, since it is smaller than the sum of its proper divisors (3632247006736).

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

2427013664000 is an equidigital number, since it uses as much as digits as its factorization.

2427013664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166449 (or 166425 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 2427013664000 in words is "two trillion, four hundred twenty-seven billion, thirteen million, six hundred sixty-four thousand".