12634030080 has 760 divisors, whose sum is σ = 54811060128. Its totient is φ = 2717908992.

The previous prime is 12634030037. The next prime is 12634030091. The reversal of 12634030080 is 8003043621.

It is a happy number.

12634030080 is a `hidden beast` number, since 12 + 6 + 340 + 300 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743178232 + ... + 743178248.

Almost surely, 2^12634030080 is an apocalyptic number.

12634030080 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 12634030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27405530064).

12634030080 is an abundant number, since it is smaller than the sum of its proper divisors (42177030048).

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

12634030080 is an frugal number, since it uses more digits than its factorization.

12634030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12634030080 in words is "twelve billion, six hundred thirty-four million, thirty thousand, eighty".