20227993632 has 288 divisors, whose sum is σ = 74837468160. Its totient is φ = 5025461760.

The previous prime is 20227993631. The next prime is 20227993657. The reversal of 20227993632 is 23639972202.

20227993632 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 7 + 9 + 9 + 3 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20227993631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490219 + ... + 529877.

It is an arithmetic number, because the mean of its divisors is an integer number (259852320).

Almost surely, 2^20227993632 is an apocalyptic number.

20227993632 is a gapful number since it is divisible by the number (22) 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 20227993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37418734080).

20227993632 is an abundant number, since it is smaller than the sum of its proper divisors (54609474528).

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

20227993632 is a wasteful number, since it uses less digits than its factorization.

20227993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39716 (or 39705 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20227993632 in words is "twenty billion, two hundred twenty-seven million, nine hundred ninety-three thousand, six hundred thirty-two".