20745328776480 has 3456 divisors, whose sum is σ = 100379394146304. Its totient is φ = 3918208204800.

The previous prime is 20745328776421. The next prime is 20745328776481. The reversal of 20745328776480 is 8467782354702.

20745328776480 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 5 + 3 + 2 + 87 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20745328776481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42598210797 + ... + 42598211283.

It is an arithmetic number, because the mean of its divisors is an integer number (29044963584).

Almost surely, 2^{20745328776480} is an apocalyptic number.

20745328776480 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 20745328776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50189697073152).

20745328776480 is an abundant number, since it is smaller than the sum of its proper divisors (79634065369824).

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

20745328776480 is a wasteful number, since it uses less digits than its factorization.

20745328776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 20745328776480 in words is "twenty trillion, seven hundred forty-five billion, three hundred twenty-eight million, seven hundred seventy-six thousand, four hundred eighty".