13671323640 has 512 divisors, whose sum is σ = 51325747200. Its totient is φ = 3214080000.

The previous prime is 13671323623. The next prime is 13671323651. The reversal of 13671323640 is 4632317631.

13671323640 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 1 + 3 + 2 + 3 + 640 = 666.

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 = 13671323595 and 13671323604.

It is a congruent number.

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, 43959085 + ... + 43959395.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 2^13671323640 is an apocalyptic number.

13671323640 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 13671323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

13671323640 is an abundant number, since it is smaller than the sum of its proper divisors (37654423560).

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

13671323640 is a wasteful number, since it uses less digits than its factorization.

13671323640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13671323640 in words is "thirteen billion, six hundred seventy-one million, three hundred twenty-three thousand, six hundred forty".