13642279680 has 432 divisors, whose sum is σ = 48795022080. Its totient is φ = 3238723584.

The previous prime is 13642279667. The next prime is 13642279711. The reversal of 13642279680 is 8697224631.

It is a super-3 number, since 3×13642279680³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21085117 + ... + 21085763.

It is an arithmetic number, because the mean of its divisors is an integer number (112951440).

Almost surely, 2^13642279680 is an apocalyptic number.

13642279680 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 13642279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24397511040).

13642279680 is an abundant number, since it is smaller than the sum of its proper divisors (35152742400).

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

13642279680 is a wasteful number, since it uses less digits than its factorization.

13642279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13642279680 in words is "thirteen billion, six hundred forty-two million, two hundred seventy-nine thousand, six hundred eighty".