12773946240 has 896 divisors, whose sum is σ = 52978147200. Its totient is φ = 2911334400.

The previous prime is 12773946191. The next prime is 12773946253. The reversal of 12773946240 is 4264937721.

12773946240 is a `hidden beast` number, since 12 + 7 + 7 + 3 + 9 + 4 + 624 + 0 = 666.

12773946240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97510975 + ... + 97511105.

Almost surely, 2^12773946240 is an apocalyptic number.

12773946240 is a gapful number since it is divisible by the number (10) 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 12773946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489073600).

12773946240 is an abundant number, since it is smaller than the sum of its proper divisors (40204200960).

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

12773946240 is a wasteful number, since it uses less digits than its factorization.

12773946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12773946240 in words is "twelve billion, seven hundred seventy-three million, nine hundred forty-six thousand, two hundred forty".