13361863680 has 880 divisors, whose sum is σ = 54570399840. Its totient is φ = 3096576000.

The previous prime is 13361863661. The next prime is 13361863681. The reversal of 13361863680 is 8636816331.

13361863680 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 1 + 8 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13361863681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132295630 + ... + 132295730.

It is an arithmetic number, because the mean of its divisors is an integer number (62011818).

Almost surely, 2^13361863680 is an apocalyptic number.

13361863680 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 13361863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27285199920).

13361863680 is an abundant number, since it is smaller than the sum of its proper divisors (41208536160).

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

13361863680 is a wasteful number, since it uses less digits than its factorization.

13361863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13361863680 in words is "thirteen billion, three hundred sixty-one million, eight hundred sixty-three thousand, six hundred eighty".