13034960640 has 720 divisors, whose sum is σ = 52976800800. Its totient is φ = 3033759744.

The previous prime is 13034960581. The next prime is 13034960669. The reversal of 13034960640 is 4606943031.

13034960640 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 9 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×13034960640³ (a number of 31 digits) contains 333 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 = 13034960595 and 13034960604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25608706 + ... + 25609214.

It is an arithmetic number, because the mean of its divisors is an integer number (73578890).

Almost surely, 2^13034960640 is an apocalyptic number.

13034960640 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 13034960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26488400400).

13034960640 is an abundant number, since it is smaller than the sum of its proper divisors (39941840160).

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

13034960640 is a wasteful number, since it uses less digits than its factorization.

13034960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13034960640 in words is "thirteen billion, thirty-four million, nine hundred sixty thousand, six hundred forty".