12345704640 has 224 divisors, whose sum is σ = 46115386560. Its totient is φ = 3098492928.

The previous prime is 12345704639. The next prime is 12345704659. The reversal of 12345704640 is 4640754321.

12345704640 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 7 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12345704595 and 12345704604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104854 + ... + 188906.

Almost surely, 2^12345704640 is an apocalyptic number.

12345704640 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 12345704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057693280).

12345704640 is an abundant number, since it is smaller than the sum of its proper divisors (33769681920).

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

12345704640 is a wasteful number, since it uses less digits than its factorization.

12345704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84096 (or 84080 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12345704640 in words is "twelve billion, three hundred forty-five million, seven hundred four thousand, six hundred forty".