319793606761680 has 800 divisors, whose sum is σ = 1187443757690784. Its totient is φ = 79486267686912.

The previous prime is 319793606761667. The next prime is 319793606761711. The reversal of 319793606761680 is 86167606397913.

319793606761680 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 9 + 3 + 606 + 7 + 6 + 1 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 23512296706704 + 296281310054976 = 4848948^2 + 17212824^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 319793606761599 and 319793606761608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4897791114 + ... + 4897856406.

Almost surely, 2^{319793606761680} is an apocalyptic number.

319793606761680 is a gapful number since it is divisible by the number (30) 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 319793606761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593721878845392).

319793606761680 is an abundant number, since it is smaller than the sum of its proper divisors (867650150929104).

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

319793606761680 is a wasteful number, since it uses less digits than its factorization.

319793606761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65765 (or 65750 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 319793606761680 in words is "three hundred nineteen trillion, seven hundred ninety-three billion, six hundred six million, seven hundred sixty-one thousand, six hundred eighty".