20462761728 has 360 divisors, whose sum is σ = 63726491136. Its totient is φ = 6550502400.

The previous prime is 20462761727. The next prime is 20462761733. The reversal of 20462761728 is 82716726402.

It is a happy number.

20462761728 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 2 + 7 + 617 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20462761727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156204223 + ... + 156204353.

Almost surely, 2^20462761728 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 20462761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31863245568).

20462761728 is an abundant number, since it is smaller than the sum of its proper divisors (43263729408).

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

20462761728 is an frugal number, since it uses more digits than its factorization.

20462761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20462761728 in words is "twenty billion, four hundred sixty-two million, seven hundred sixty-one thousand, seven hundred twenty-eight".