13540063680 has 840 divisors, whose sum is σ = 57098116944. Its totient is φ = 3019161600.

The previous prime is 13540063639. The next prime is 13540063681. The reversal of 13540063680 is 8636004531.

13540063680 is a `hidden beast` number, since 1 + 3 + 540 + 0 + 6 + 36 + 80 = 666.

It is a super-4 number, since 4×13540063680⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540063681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48185140 + ... + 48185420.

Almost surely, 2^13540063680 is an apocalyptic number.

13540063680 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 13540063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28549058472).

13540063680 is an abundant number, since it is smaller than the sum of its proper divisors (43558053264).

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

13540063680 is a wasteful number, since it uses less digits than its factorization.

13540063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13540063680 in words is "thirteen billion, five hundred forty million, sixty-three thousand, six hundred eighty".