12704415360 has 1024 divisors, whose sum is σ = 54286848000. Its totient is φ = 2452488192.

The previous prime is 12704415337. The next prime is 12704415377. The reversal of 12704415360 is 6351440721.

It is a super-3 number, since 3×12704415360³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142746196 + ... + 142746284.

It is an arithmetic number, because the mean of its divisors is an integer number (53014500).

Almost surely, 2^12704415360 is an apocalyptic number.

12704415360 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 12704415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27143424000).

12704415360 is an abundant number, since it is smaller than the sum of its proper divisors (41582432640).

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

12704415360 is a wasteful number, since it uses less digits than its factorization.

12704415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 12704415360 in words is "twelve billion, seven hundred four million, four hundred fifteen thousand, three hundred sixty".