20009768064 has 384 divisors, whose sum is σ = 63616943040. Its totient is φ = 5535129600.

The previous prime is 20009768063. The next prime is 20009768101. The reversal of 20009768064 is 46086790002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20009768063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94832919 + ... + 94833129.

Almost surely, 2^20009768064 is an apocalyptic number.

20009768064 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 20009768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31808471520).

20009768064 is an abundant number, since it is smaller than the sum of its proper divisors (43607174976).

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

20009768064 is a wasteful number, since it uses less digits than its factorization.

20009768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20009768064 in words is "twenty billion, nine million, seven hundred sixty-eight thousand, sixty-four".