12476006400 has 720 divisors, whose sum is σ = 49147354368. Its totient is φ = 2752512000.

The previous prime is 12476006377. The next prime is 12476006401. The reversal of 12476006400 is 460067421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12476006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175718365 + ... + 175718435.

Almost surely, 2^12476006400 is an apocalyptic number.

12476006400 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 12476006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24573677184).

12476006400 is an abundant number, since it is smaller than the sum of its proper divisors (36671347968).

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

12476006400 is a wasteful number, since it uses less digits than its factorization.

12476006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12476006400 in words is "twelve billion, four hundred seventy-six million, six thousand, four hundred".