13133474640 has 480 divisors, whose sum is σ = 52159161600. Its totient is φ = 2919628800.

The previous prime is 13133474597. The next prime is 13133474681. The reversal of 13133474640 is 4647433131.

13133474640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 4 + 7 + 4 + 640 = 666.

It is a super-2 number, since 2×13133474640² (a number of 21 digits) contains 22 as substring.

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 = 13133474595 and 13133474604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20488720 + ... + 20489360.

It is an arithmetic number, because the mean of its divisors is an integer number (108664920).

Almost surely, 2^13133474640 is an apocalyptic number.

13133474640 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 13133474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26079580800).

13133474640 is an abundant number, since it is smaller than the sum of its proper divisors (39025686960).

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

13133474640 is a wasteful number, since it uses less digits than its factorization.

13133474640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13133474640 in words is "thirteen billion, one hundred thirty-three million, four hundred seventy-four thousand, six hundred forty".