13070471680 has 240 divisors, whose sum is σ = 37722552120. Its totient is φ = 4325572608.

The previous prime is 13070471657. The next prime is 13070471681. The reversal of 13070471680 is 8617407031.

It can be written as a sum of positive squares in 4 ways, for example, as 9560146176 + 3510325504 = 97776^2 + 59248^2 .

It is not an unprimeable number, because it can be changed into a prime (13070471681) 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, 3635964 + ... + 3639556.

Almost surely, 2^13070471680 is an apocalyptic number.

13070471680 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 13070471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861276060).

13070471680 is an abundant number, since it is smaller than the sum of its proper divisors (24652080440).

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

13070471680 is an equidigital number, since it uses as much as digits as its factorization.

13070471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 13070471680 in words is "thirteen billion, seventy million, four hundred seventy-one thousand, six hundred eighty".