320068712952 has 320 divisors, whose sum is σ = 949426790400. Its totient is φ = 100588884480.

The previous prime is 320068712881. The next prime is 320068712969. The reversal of 320068712952 is 259217860023.

It is a super-3 number, since 3×320068712952³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320068712898 and 320068712907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248307124 + ... + 248308412.

It is an arithmetic number, because the mean of its divisors is an integer number (2966958720).

Almost surely, 2^320068712952 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 320068712952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474713395200).

320068712952 is an abundant number, since it is smaller than the sum of its proper divisors (629358077448).

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

320068712952 is a wasteful number, since it uses less digits than its factorization.

320068712952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 320068712952 in words is "three hundred twenty billion, sixty-eight million, seven hundred twelve thousand, nine hundred fifty-two".