20741627808 has 288 divisors, whose sum is σ = 66985132032. Its totient is φ = 6031065600.

The previous prime is 20741627789. The next prime is 20741627831. The reversal of 20741627808 is 80872614702.

20741627808 is a `hidden beast` number, since 207 + 416 + 27 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12471585 + ... + 12473247.

It is an arithmetic number, because the mean of its divisors is an integer number (232587264).

Almost surely, 2^20741627808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20741627808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33492566016).

20741627808 is an abundant number, since it is smaller than the sum of its proper divisors (46243504224).

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

20741627808 is a wasteful number, since it uses less digits than its factorization.

20741627808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20741627808 in words is "twenty billion, seven hundred forty-one million, six hundred twenty-seven thousand, eight hundred eight".