321342693672 has 512 divisors, whose sum is σ = 1141521776640. Its totient is φ = 72648576000.

The previous prime is 321342693629. The next prime is 321342693673. The reversal of 321342693672 is 276396243123.

It is a super-2 number, since 2×321342693672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321342693673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39227097 + ... + 39235287.

It is an arithmetic number, because the mean of its divisors is an integer number (2229534720).

Almost surely, 2^321342693672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321342693672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570760888320).

321342693672 is an abundant number, since it is smaller than the sum of its proper divisors (820179082968).

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

321342693672 is a wasteful number, since it uses less digits than its factorization.

321342693672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325 (or 8321 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The spelling of 321342693672 in words is "three hundred twenty-one billion, three hundred forty-two million, six hundred ninety-three thousand, six hundred seventy-two".