13675380264 has 384 divisors, whose sum is σ = 49297248000. Its totient is φ = 3323400192.

The previous prime is 13675380263. The next prime is 13675380287. The reversal of 13675380264 is 46208357631.

13675380264 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 5 + 380 + 264 = 666.

It is not an unprimeable number, because it can be changed into a prime (13675380263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4604572 + ... + 4607540.

It is an arithmetic number, because the mean of its divisors is an integer number (128378250).

Almost surely, 2^13675380264 is an apocalyptic number.

13675380264 is a gapful number since it is divisible by the number (14) 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 13675380264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624000).

13675380264 is an abundant number, since it is smaller than the sum of its proper divisors (35621867736).

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

13675380264 is a wasteful number, since it uses less digits than its factorization.

13675380264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13675380264 in words is "thirteen billion, six hundred seventy-five million, three hundred eighty thousand, two hundred sixty-four".