19680402415968 has 576 divisors, whose sum is σ = 70326488736000. Its totient is φ = 5324045303808.

The previous prime is 19680402415913. The next prime is 19680402415979. The reversal of 19680402415968 is 86951420408691.

19680402415968 is a `hidden beast` number, since 1 + 9 + 6 + 80 + 402 + 41 + 59 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1699657603 + ... + 1699669181.

It is an arithmetic number, because the mean of its divisors is an integer number (122094598500).

Almost surely, 2^{19680402415968} is an apocalyptic number.

19680402415968 is a gapful number since it is divisible by the number (18) 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 19680402415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163244368000).

19680402415968 is an abundant number, since it is smaller than the sum of its proper divisors (50646086320032).

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

19680402415968 is a wasteful number, since it uses less digits than its factorization.

19680402415968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13744 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 19680402415968 in words is "nineteen trillion, six hundred eighty billion, four hundred two million, four hundred fifteen thousand, nine hundred sixty-eight".