13475713680 has 480 divisors, whose sum is σ = 56302646400. Its totient is φ = 2837790720.

The previous prime is 13475713661. The next prime is 13475713681. The reversal of 13475713680 is 8631757431.

13475713680 is a `hidden beast` number, since 1 + 3 + 47 + 571 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13475713681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1746471 + ... + 1754169.

It is an arithmetic number, because the mean of its divisors is an integer number (117297180).

Almost surely, 2^13475713680 is an apocalyptic number.

13475713680 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 13475713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28151323200).

13475713680 is an abundant number, since it is smaller than the sum of its proper divisors (42826932720).

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

13475713680 is a wasteful number, since it uses less digits than its factorization.

13475713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13475713680 in words is "thirteen billion, four hundred seventy-five million, seven hundred thirteen thousand, six hundred eighty".