20283812640 has 1152 divisors, whose sum is σ = 90756288000. Its totient is φ = 4279661568.

The previous prime is 20283812579. The next prime is 20283812707. The reversal of 20283812640 is 4621838202.

20283812640 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 3 + 8 + 1 + 2 + 640 = 666.

It is a super-2 number, since 2×20283812640² (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 = 20283812595 and 20283812604.

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 191 ways as a sum of consecutive naturals, for example, 1560293274 + ... + 1560293286.

It is an arithmetic number, because the mean of its divisors is an integer number (78781500).

Almost surely, 2^20283812640 is an apocalyptic number.

20283812640 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 20283812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45378144000).

20283812640 is an abundant number, since it is smaller than the sum of its proper divisors (70472475360).

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

20283812640 is an frugal number, since it uses more digits than its factorization.

20283812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20283812640 in words is "twenty billion, two hundred eighty-three million, eight hundred twelve thousand, six hundred forty".