20272621824 has 648 divisors, whose sum is σ = 77184219840. Its totient is φ = 5058256896.

The previous prime is 20272621823. The next prime is 20272621867. The reversal of 20272621824 is 42812627202.

20272621824 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 2 + 621 + 8 + 24 = 666.

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 (20272621823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27884949 + ... + 27885675.

Almost surely, 2^20272621824 is an apocalyptic number.

20272621824 is a gapful number since it is divisible by the number (24) 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 20272621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38592109920).

20272621824 is an abundant number, since it is smaller than the sum of its proper divisors (56911598016).

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

20272621824 is a wasteful number, since it uses less digits than its factorization.

20272621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20272621824 in words is "twenty billion, two hundred seventy-two million, six hundred twenty-one thousand, eight hundred twenty-four".