12777494766336 has 864 divisors, whose sum is σ = 40446622944000. Its totient is φ = 3866125565952.

The previous prime is 12777494766301. The next prime is 12777494766341. The reversal of 12777494766336 is 63366749477721.

It is a happy number.

12777494766336 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 7 + 494 + 76 + 63 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 36822751315 + ... + 36822751661.

It is an arithmetic number, because the mean of its divisors is an integer number (46813221000).

Almost surely, 2^{12777494766336} is an apocalyptic number.

12777494766336 is a gapful number since it is divisible by the number (16) 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 12777494766336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223311472000).

12777494766336 is an abundant number, since it is smaller than the sum of its proper divisors (27669128177664).

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

12777494766336 is a wasteful number, since it uses less digits than its factorization.

12777494766336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 72.

The spelling of 12777494766336 in words is "twelve trillion, seven hundred seventy-seven billion, four hundred ninety-four million, seven hundred sixty-six thousand, three hundred thirty-six".