12434632704 has 468 divisors, whose sum is σ = 41449146648. Its totient is φ = 3702620160.

The previous prime is 12434632687. The next prime is 12434632729. The reversal of 12434632704 is 40723643421.

12434632704 is a `hidden beast` number, since 12 + 4 + 3 + 4 + 632 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401117169 + ... + 401117199.

Almost surely, 2^12434632704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724573324).

12434632704 is an abundant number, since it is smaller than the sum of its proper divisors (29014513944).

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

12434632704 is an frugal number, since it uses more digits than its factorization.

12434632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 12434632704 in words is "twelve billion, four hundred thirty-four million, six hundred thirty-two thousand, seven hundred four".