13820633640 has 128 divisors (see below), whose sum is σ = 50256892800. Its totient is φ = 3350453760.

The previous prime is 13820633609. The next prime is 13820633653. The reversal of 13820633640 is 4633602831.

13820633640 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 6 + 3 + 3 + 640 = 666.

It is a super-2 number, since 2×13820633640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13820633595 and 13820633604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569797 + ... + 593556.

It is an arithmetic number, because the mean of its divisors is an integer number (392631975).

Almost surely, 2^13820633640 is an apocalyptic number.

13820633640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13820633640 is an abundant number, since it is smaller than the sum of its proper divisors (36436259160).

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

13820633640 is a wasteful number, since it uses less digits than its factorization.

13820633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163384 (or 1163374 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13820633640 in words is "thirteen billion, eight hundred twenty million, six hundred thirty-three thousand, six hundred forty".