13807671840 has 288 divisors, whose sum is σ = 48598870320. Its totient is φ = 3567255552.

The previous prime is 13807671791. The next prime is 13807671863. The reversal of 13807671840 is 4817670831.

It can be written as a sum of positive squares in 8 ways, for example, as 6656601744 + 7151070096 = 81588^2 + 84564^2 .

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

It is a super-2 number, since 2×13807671840² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17954976 + ... + 17955744.

Almost surely, 2^13807671840 is an apocalyptic number.

13807671840 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 13807671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299435160).

13807671840 is an abundant number, since it is smaller than the sum of its proper divisors (34791198480).

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

13807671840 is a wasteful number, since it uses less digits than its factorization.

13807671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13807671840 in words is "thirteen billion, eight hundred seven million, six hundred seventy-one thousand, eight hundred forty".