13645793280 has 768 divisors, whose sum is σ = 54344908800. Its totient is φ = 2854748160.

The previous prime is 13645793267. The next prime is 13645793281. The reversal of 13645793280 is 8239754631.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13645793281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153323476 + ... + 153323564.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

It is a 1-persistent number, because it is pandigital, but 2⋅13645793280 = 27291586560 is not.

Almost surely, 2^13645793280 is an apocalyptic number.

13645793280 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 13645793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

13645793280 is an abundant number, since it is smaller than the sum of its proper divisors (40699115520).

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

13645793280 is a wasteful number, since it uses less digits than its factorization.

13645793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13645793280 in words is "thirteen billion, six hundred forty-five million, seven hundred ninety-three thousand, two hundred eighty".