20064804480 has 768 divisors, whose sum is σ = 82671114240. Its totient is φ = 4389396480.

The previous prime is 20064804439. The next prime is 20064804503. The reversal of 20064804480 is 8440846002.

20064804480 is a `hidden beast` number, since 2 + 0 + 0 + 648 + 0 + 4 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 123096879 + ... + 123097041.

It is an arithmetic number, because the mean of its divisors is an integer number (107644680).

Almost surely, 2^20064804480 is an apocalyptic number.

20064804480 is a gapful number since it is divisible by the number (20) 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 20064804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41335557120).

20064804480 is an abundant number, since it is smaller than the sum of its proper divisors (62606309760).

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

20064804480 is a wasteful number, since it uses less digits than its factorization.

20064804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20064804480 in words is "twenty billion, sixty-four million, eight hundred four thousand, four hundred eighty".