20284572672 has 792 divisors, whose sum is σ = 77217032256. Its totient is φ = 4992565248.

The previous prime is 20284572647. The next prime is 20284572701. The reversal of 20284572672 is 27627548202.

20284572672 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 4 + 572 + 6 + 72 = 666.

It is a super-2 number, since 2×20284572672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 302754783 + ... + 302754849.

Almost surely, 2^20284572672 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 20284572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608516128).

20284572672 is an abundant number, since it is smaller than the sum of its proper divisors (56932459584).

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

20284572672 is a wasteful number, since it uses less digits than its factorization.

20284572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20284572672 in words is "twenty billion, two hundred eighty-four million, five hundred seventy-two thousand, six hundred seventy-two".