13676747040 has 288 divisors, whose sum is σ = 51636154752. Its totient is φ = 3268608000.

The previous prime is 13676747039. The next prime is 13676747041. The reversal of 13676747040 is 4074767631.

13676747040 is a `hidden beast` number, since 136 + 7 + 6 + 7 + 470 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13676747039) and next prime (13676747041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13676747040² (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 not an unprimeable number, because it can be changed into a prime (13676747041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118560 + ... + 1130720.

It is an arithmetic number, because the mean of its divisors is an integer number (179292204).

Almost surely, 2^13676747040 is an apocalyptic number.

13676747040 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 13676747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25818077376).

13676747040 is an abundant number, since it is smaller than the sum of its proper divisors (37959407712).

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

13676747040 is a wasteful number, since it uses less digits than its factorization.

13676747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12264 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 13676747040 in words is "thirteen billion, six hundred seventy-six million, seven hundred forty-seven thousand, forty".