12677333760 has 1152 divisors, whose sum is σ = 57689856000. Its totient is φ = 2563964928.

The previous prime is 12677333759. The next prime is 12677333761. The reversal of 12677333760 is 6733377621.

It is an interprime number because it is at equal distance from previous prime (12677333759) and next prime (12677333761).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677333761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91203771 + ... + 91203909.

It is an arithmetic number, because the mean of its divisors is an integer number (50078000).

Almost surely, 2^12677333760 is an apocalyptic number.

12677333760 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 12677333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844928000).

12677333760 is an abundant number, since it is smaller than the sum of its proper divisors (45012522240).

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

12677333760 is a wasteful number, since it uses less digits than its factorization.

12677333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 45.

The spelling of 12677333760 in words is "twelve billion, six hundred seventy-seven million, three hundred thirty-three thousand, seven hundred sixty".