12477620752704 has 336 divisors, whose sum is σ = 38190156426240. Its totient is φ = 3994672066560.

The previous prime is 12477620752679. The next prime is 12477620752757. The reversal of 12477620752704 is 40725702677421.

It is a happy number.

12477620752704 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 7 + 620 + 7 + 5 + 2 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 277547892 + ... + 277592844.

It is an arithmetic number, because the mean of its divisors is an integer number (113661179840).

Almost surely, 2^{12477620752704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12477620752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19095078213120).

12477620752704 is an abundant number, since it is smaller than the sum of its proper divisors (25712535673536).

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

12477620752704 is a wasteful number, since it uses less digits than its factorization.

12477620752704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45223 (or 45178 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 12477620752704 in words is "twelve trillion, four hundred seventy-seven billion, six hundred twenty million, seven hundred fifty-two thousand, seven hundred four".