13638676480 has 208 divisors, whose sum is σ = 38458907424. Its totient is φ = 4577034240.

The previous prime is 13638676477. The next prime is 13638676487. The reversal of 13638676480 is 8467683631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×13638676480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (13638676487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926312 + ... + 2930968.

Almost surely, 2^13638676480 is an apocalyptic number.

13638676480 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 13638676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229453712).

13638676480 is an abundant number, since it is smaller than the sum of its proper divisors (24820230944).

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

13638676480 is a wasteful number, since it uses less digits than its factorization.

13638676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 13638676480 in words is "thirteen billion, six hundred thirty-eight million, six hundred seventy-six thousand, four hundred eighty".