20413464079680 has 336 divisors, whose sum is σ = 82832885351424. Its totient is φ = 4515420487680.

The previous prime is 20413464079667. The next prime is 20413464079733. The reversal of 20413464079680 is 8697046431402.

20413464079680 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 464 + 0 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15706857 + ... + 16956776.

Almost surely, 2^{20413464079680} is an apocalyptic number.

20413464079680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413464079680 is an abundant number, since it is smaller than the sum of its proper divisors (62419421271744).

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

20413464079680 is a wasteful number, since it uses less digits than its factorization.

20413464079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32663694 (or 32663681 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 20413464079680 in words is "twenty trillion, four hundred thirteen billion, four hundred sixty-four million, seventy-nine thousand, six hundred eighty".