321457660560 has 640 divisors, whose sum is σ = 1206422784000. Its totient is φ = 78395516928.

The previous prime is 321457660471. The next prime is 321457660609. The reversal of 321457660560 is 65066754123.

321457660560 is a `hidden beast` number, since 3 + 2 + 14 + 5 + 76 + 6 + 0 + 560 = 666.

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 127 ways as a sum of consecutive naturals, for example, 211067959 + ... + 211069481.

It is an arithmetic number, because the mean of its divisors is an integer number (1885035600).

Almost surely, 2^321457660560 is an apocalyptic number.

321457660560 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 321457660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603211392000).

321457660560 is an abundant number, since it is smaller than the sum of its proper divisors (884965123440).

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

321457660560 is a wasteful number, since it uses less digits than its factorization.

321457660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 321457660560 in words is "three hundred twenty-one billion, four hundred fifty-seven million, six hundred sixty thousand, five hundred sixty".