20714791680 has 216 divisors, whose sum is σ = 78187047120. Its totient is φ = 5021736960.

The previous prime is 20714791679. The next prime is 20714791681. The reversal of 20714791680 is 8619741702.

It is a happy number.

20714791680 is a `hidden beast` number, since 20 + 71 + 479 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20714791679) and next prime (20714791681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20714791681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44986 + ... + 208454.

It is an arithmetic number, because the mean of its divisors is an integer number (361977070).

Almost surely, 2^20714791680 is an apocalyptic number.

20714791680 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 20714791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39093523560).

20714791680 is an abundant number, since it is smaller than the sum of its proper divisors (57472255440).

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

20714791680 is a wasteful number, since it uses less digits than its factorization.

20714791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163507 (or 163490 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 20714791680 in words is "twenty billion, seven hundred fourteen million, seven hundred ninety-one thousand, six hundred eighty".