13829651640 has 320 divisors, whose sum is σ = 56249899200. Its totient is φ = 2975035392.

The previous prime is 13829651639. The next prime is 13829651687. The reversal of 13829651640 is 4615692831.

13829651640 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 96 + 516 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 367626 + ... + 403494.

It is an arithmetic number, because the mean of its divisors is an integer number (175780935).

Almost surely, 2^13829651640 is an apocalyptic number.

13829651640 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 13829651640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28124949600).

13829651640 is an abundant number, since it is smaller than the sum of its proper divisors (42420247560).

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

13829651640 is a wasteful number, since it uses less digits than its factorization.

13829651640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35916 (or 35903 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13829651640 in words is "thirteen billion, eight hundred twenty-nine million, six hundred fifty-one thousand, six hundred forty".