20103632640 has 864 divisors, whose sum is σ = 86853451776. Its totient is φ = 4180377600.

The previous prime is 20103632639. The next prime is 20103632669. The reversal of 20103632640 is 4623630102.

20103632640 is a `hidden beast` number, since 2 + 0 + 10 + 3 + 6 + 3 + 2 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133136565 + ... + 133136715.

Almost surely, 2^20103632640 is an apocalyptic number.

20103632640 is a gapful number since it is divisible by the number (20) 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 20103632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426725888).

20103632640 is an abundant number, since it is smaller than the sum of its proper divisors (66749819136).

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

20103632640 is a wasteful number, since it uses less digits than its factorization.

20103632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 20103632640 in words is "twenty billion, one hundred three million, six hundred thirty-two thousand, six hundred forty".