13677027840 has 480 divisors, whose sum is σ = 54617397120. Its totient is φ = 3098345472.

The previous prime is 13677027823. The next prime is 13677027869. The reversal of 13677027840 is 4872077631.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13677027840² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22095051 + ... + 22095669.

It is an arithmetic number, because the mean of its divisors is an integer number (113786244).

Almost surely, 2^13677027840 is an apocalyptic number.

13677027840 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 13677027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27308698560).

13677027840 is an abundant number, since it is smaller than the sum of its proper divisors (40940369280).

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

13677027840 is a wasteful number, since it uses less digits than its factorization.

13677027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

It can be divided in two parts, 1367 and 7027840, that added together give a palindrome (7029207).

The spelling of 13677027840 in words is "thirteen billion, six hundred seventy-seven million, twenty-seven thousand, eight hundred forty".