321160679424 has 624 divisors, whose sum is σ = 1073348640000. Its totient is φ = 91644493824.

The previous prime is 321160679419. The next prime is 321160679429. The reversal of 321160679424 is 424976061123.

321160679424 is a `hidden beast` number, since 3 + 2 + 1 + 160 + 67 + 9 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (321160679419) and next prime (321160679429).

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 321160679424.

It is not an unprimeable number, because it can be changed into a prime (321160679429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643608327 + ... + 643608825.

It is an arithmetic number, because the mean of its divisors is an integer number (1720110000).

Almost surely, 2^321160679424 is an apocalyptic number.

321160679424 is a gapful number since it is divisible by the number (34) 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 321160679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536674320000).

321160679424 is an abundant number, since it is smaller than the sum of its proper divisors (752187960576).

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

321160679424 is a wasteful number, since it uses less digits than its factorization.

321160679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 321160679424 in words is "three hundred twenty-one billion, one hundred sixty million, six hundred seventy-nine thousand, four hundred twenty-four".