12766647600 has 480 divisors, whose sum is σ = 53050890240. Its totient is φ = 2855208960.

The previous prime is 12766647581. The next prime is 12766647653. The reversal of 12766647600 is 674666721.

It is a happy number.

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, 3551404 + ... + 3554996.

It is an arithmetic number, because the mean of its divisors is an integer number (110522688).

Almost surely, 2^12766647600 is an apocalyptic number.

12766647600 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 12766647600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26525445120).

12766647600 is an abundant number, since it is smaller than the sum of its proper divisors (40284242640).

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

12766647600 is a wasteful number, since it uses less digits than its factorization.

12766647600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3657 counting only the distinct ones).

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

The spelling of 12766647600 in words is "twelve billion, seven hundred sixty-six million, six hundred forty-seven thousand, six hundred".