12967046400 has 864 divisors, whose sum is σ = 54746496000. Its totient is φ = 2679398400.

The previous prime is 12967046371. The next prime is 12967046401. The reversal of 12967046400 is 464076921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967046401) 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 95 ways as a sum of consecutive naturals, for example, 72441511 + ... + 72441689.

It is an arithmetic number, because the mean of its divisors is an integer number (63364000).

Almost surely, 2^12967046400 is an apocalyptic number.

12967046400 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 12967046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373248000).

12967046400 is an abundant number, since it is smaller than the sum of its proper divisors (41779449600).

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

12967046400 is a wasteful number, since it uses less digits than its factorization.

12967046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

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

The spelling of 12967046400 in words is "twelve billion, nine hundred sixty-seven million, forty-six thousand, four hundred".