12670694400 has 1056 divisors, whose sum is σ = 54014598400. Its totient is φ = 2601123840.

The previous prime is 12670694353. The next prime is 12670694431. The reversal of 12670694400 is 449607621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 342451182 + ... + 342451218.

Almost surely, 2^12670694400 is an apocalyptic number.

12670694400 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 12670694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007299200).

12670694400 is an abundant number, since it is smaller than the sum of its proper divisors (41343904000).

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

12670694400 is a wasteful number, since it uses less digits than its factorization.

12670694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 12670694400 in words is "twelve billion, six hundred seventy million, six hundred ninety-four thousand, four hundred".