20090633472 has 756 divisors, whose sum is σ = 75769230180. Its totient is φ = 5298628608.

The previous prime is 20090633471. The next prime is 20090633477. The reversal of 20090633472 is 27433609002.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 19349922816 = 27216^2 + 139104^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×20090633472³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20090633471) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1545433338 + ... + 1545433350.

Almost surely, 2^20090633472 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 20090633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37884615090).

20090633472 is an abundant number, since it is smaller than the sum of its proper divisors (55678596708).

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

20090633472 is an frugal number, since it uses more digits than its factorization.

20090633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 20090633472 in words is "twenty billion, ninety million, six hundred thirty-three thousand, four hundred seventy-two".