13430672640 has 1152 divisors, whose sum is σ = 61221888000. Its totient is φ = 2763694080.

The previous prime is 13430672623. The next prime is 13430672653. The reversal of 13430672640 is 4627603431.

It is a happy number.

13430672640 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 13430672595 and 13430672604.

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, 130394829 + ... + 130394931.

It is an arithmetic number, because the mean of its divisors is an integer number (53144000).

Almost surely, 2^13430672640 is an apocalyptic number.

13430672640 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 13430672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610944000).

13430672640 is an abundant number, since it is smaller than the sum of its proper divisors (47791215360).

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

13430672640 is a wasteful number, since it uses less digits than its factorization.

13430672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

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

The spelling of 13430672640 in words is "thirteen billion, four hundred thirty million, six hundred seventy-two thousand, six hundred forty".