12677702400 has 972 divisors, whose sum is σ = 53244389016. Its totient is φ = 2865561600.

The previous prime is 12677702393. The next prime is 12677702431. The reversal of 12677702400 is 420777621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 118483147 + ... + 118483253.

It is an arithmetic number, because the mean of its divisors is an integer number (54778178).

Almost surely, 2^12677702400 is an apocalyptic number.

12677702400 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 12677702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622194508).

12677702400 is an abundant number, since it is smaller than the sum of its proper divisors (40566686616).

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

12677702400 is a wasteful number, since it uses less digits than its factorization.

12677702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 12677702400 in words is "twelve billion, six hundred seventy-seven million, seven hundred two thousand, four hundred".