320879703060 has 288 divisors, whose sum is σ = 1139171185152. Its totient is φ = 71591869440.

The previous prime is 320879703041. The next prime is 320879703073. The reversal of 320879703060 is 60307978023.

It is a happy number.

320879703060 is a `hidden beast` number, since 3 + 208 + 79 + 70 + 306 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 320879702997 and 320879703015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13143465 + ... + 13167855.

It is an arithmetic number, because the mean of its divisors is an integer number (3955455504).

Almost surely, 2^320879703060 is an apocalyptic number.

320879703060 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 320879703060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569585592576).

320879703060 is an abundant number, since it is smaller than the sum of its proper divisors (818291482092).

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

320879703060 is a wasteful number, since it uses less digits than its factorization.

320879703060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24663 (or 24658 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 320879703060 in words is "three hundred twenty billion, eight hundred seventy-nine million, seven hundred three thousand, sixty".