20671303680 has 520 divisors, whose sum is σ = 78567351192. Its totient is φ = 5181014016.

The previous prime is 20671303651. The next prime is 20671303687. The reversal of 20671303680 is 8630317602.

It is a happy number.

20671303680 is a `hidden beast` number, since 206 + 71 + 303 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10394210304 + 10277093376 = 101952^2 + 101376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20671303687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28200594 + ... + 28201326.

Almost surely, 2^20671303680 is an apocalyptic number.

20671303680 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 20671303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283675596).

20671303680 is an abundant number, since it is smaller than the sum of its proper divisors (57896047512).

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

20671303680 is an equidigital number, since it uses as much as digits as its factorization.

20671303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20671303680 in words is "twenty billion, six hundred seventy-one million, three hundred three thousand, six hundred eighty".