13484635920 has 640 divisors, whose sum is σ = 56729702400. Its totient is φ = 2875502592.

The previous prime is 13484635889. The next prime is 13484635949. The reversal of 13484635920 is 2953648431.

13484635920 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 4 + 635 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×13484635920³ (a number of 31 digits) contains 333 as substring.

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

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, 20971119 + ... + 20971761.

It is an arithmetic number, because the mean of its divisors is an integer number (88640160).

Almost surely, 2^13484635920 is an apocalyptic number.

13484635920 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 13484635920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28364851200).

13484635920 is an abundant number, since it is smaller than the sum of its proper divisors (43245066480).

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

13484635920 is a wasteful number, since it uses less digits than its factorization.

13484635920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13484635920 in words is "thirteen billion, four hundred eighty-four million, six hundred thirty-five thousand, nine hundred twenty".