20446760430720 has 3072 divisors, whose sum is σ = 85299114700800. Its totient is φ = 4643802316800.

The previous prime is 20446760430671. The next prime is 20446760430757. The reversal of 20446760430720 is 2703406764402.

20446760430720 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 6 + 7 + 604 + 30 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×20446760430720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 187584958026 + ... + 187584958134.

It is an arithmetic number, because the mean of its divisors is an integer number (27766638900).

Almost surely, 2^{20446760430720} is an apocalyptic number.

20446760430720 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 20446760430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42649557350400).

20446760430720 is an abundant number, since it is smaller than the sum of its proper divisors (64852354270080).

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

20446760430720 is a wasteful number, since it uses less digits than its factorization.

20446760430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 20446760430720 in words is "twenty trillion, four hundred forty-six billion, seven hundred sixty million, four hundred thirty thousand, seven hundred twenty".