12776682240 has 864 divisors, whose sum is σ = 55099699200. Its totient is φ = 2667479040.

The previous prime is 12776682199. The next prime is 12776682253. The reversal of 12776682240 is 4228667721.

It is a happy number.

12776682240 is a `hidden beast` number, since 1 + 277 + 66 + 82 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47496826 + ... + 47497094.

It is an arithmetic number, because the mean of its divisors is an integer number (63772800).

Almost surely, 2^12776682240 is an apocalyptic number.

12776682240 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 12776682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27549849600).

12776682240 is an abundant number, since it is smaller than the sum of its proper divisors (42323016960).

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

12776682240 is a wasteful number, since it uses less digits than its factorization.

12776682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 12776682240 in words is "twelve billion, seven hundred seventy-six million, six hundred eighty-two thousand, two hundred forty".