20407681008 has 480 divisors, whose sum is σ = 71896773312. Its totient is φ = 5308416000.

The previous prime is 20407680961. The next prime is 20407681009. The reversal of 20407681008 is 80018670402.

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 (20407681009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33955908 + ... + 33956508.

Almost surely, 2^20407681008 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 20407681008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35948386656).

20407681008 is an abundant number, since it is smaller than the sum of its proper divisors (51489092304).

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

20407681008 is a wasteful number, since it uses less digits than its factorization.

20407681008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20407681008 in words is "twenty billion, four hundred seven million, six hundred eighty-one thousand, eight".