320476087008 has 768 divisors, whose sum is σ = 1233908121600. Its totient is φ = 78480783360.

The previous prime is 320476086989. The next prime is 320476087033. The reversal of 320476087008 is 800780674023.

It is a happy number.

320476087008 is a `hidden beast` number, since 32 + 0 + 4 + 7 + 608 + 7 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82958485 + ... + 82962347.

It is an arithmetic number, because the mean of its divisors is an integer number (1606651200).

Almost surely, 2^320476087008 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 320476087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616954060800).

320476087008 is an abundant number, since it is smaller than the sum of its proper divisors (913432034592).

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

320476087008 is a wasteful number, since it uses less digits than its factorization.

320476087008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 320476087008 in words is "three hundred twenty billion, four hundred seventy-six million, eighty-seven thousand, eight".