13364620758720 has 1344 divisors, whose sum is σ = 59540835594240. Its totient is φ = 2669867827200.

The previous prime is 13364620758683. The next prime is 13364620758751. The reversal of 13364620758720 is 2785702646331.

It is a happy number.

13364620758720 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 4 + 620 + 7 + 5 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×13364620758720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1549876329 + ... + 1549884951.

It is an arithmetic number, because the mean of its divisors is an integer number (44301216960).

Almost surely, 2^{13364620758720} is an apocalyptic number.

13364620758720 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 13364620758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29770417797120).

13364620758720 is an abundant number, since it is smaller than the sum of its proper divisors (46176214835520).

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

13364620758720 is a wasteful number, since it uses less digits than its factorization.

13364620758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 13364620758720 in words is "thirteen trillion, three hundred sixty-four billion, six hundred twenty million, seven hundred fifty-eight thousand, seven hundred twenty".