12734467600 has 120 divisors (see below), whose sum is σ = 31533293000. Its totient is φ = 4938485760.

The previous prime is 12734467591. The next prime is 12734467601. The reversal of 12734467600 is 676443721.

It can be written as a sum of positive squares in 12 ways, for example, as 7517583616 + 5216883984 = 86704^2 + 72228^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12734467601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4631026 + ... + 4633774.

Almost surely, 2^12734467600 is an apocalyptic number.

12734467600 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 12734467600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766646500).

12734467600 is an abundant number, since it is smaller than the sum of its proper divisors (18798825400).

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

12734467600 is a wasteful number, since it uses less digits than its factorization.

12734467600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 12734467600 in words is "twelve billion, seven hundred thirty-four million, four hundred sixty-seven thousand, six hundred".