320058468480 has 256 divisors, whose sum is σ = 1040401272960. Its totient is φ = 83674398720.

The previous prime is 320058468421. The next prime is 320058468491. The reversal of 320058468480 is 84864850023.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19919650 + ... + 19935710.

Almost surely, 2^320058468480 is an apocalyptic number.

320058468480 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 320058468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520200636480).

320058468480 is an abundant number, since it is smaller than the sum of its proper divisors (720342804480).

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

320058468480 is a wasteful number, since it uses less digits than its factorization.

320058468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16287 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 320058468480 in words is "three hundred twenty billion, fifty-eight million, four hundred sixty-eight thousand, four hundred eighty".