320198904480 has 576 divisors, whose sum is σ = 1330081119360. Its totient is φ = 64001581056.

The previous prime is 320198904469. The next prime is 320198904511. The reversal of 320198904480 is 84409891023.

It is a super-3 number, since 3×320198904480³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5781882 + ... + 5836998.

It is an arithmetic number, because the mean of its divisors is an integer number (2309168610).

Almost surely, 2^320198904480 is an apocalyptic number.

320198904480 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 320198904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665040559680).

320198904480 is an abundant number, since it is smaller than the sum of its proper divisors (1009882214880).

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

320198904480 is a wasteful number, since it uses less digits than its factorization.

320198904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55181 (or 55166 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 320198904480 in words is "three hundred twenty billion, one hundred ninety-eight million, nine hundred four thousand, four hundred eighty".