320668046400 has 672 divisors, whose sum is σ = 1200073190400. Its totient is φ = 74312294400.

The previous prime is 320668046351. The next prime is 320668046411. The reversal of 320668046400 is 4640866023.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 212221645 + ... + 212223155.

It is an arithmetic number, because the mean of its divisors is an integer number (1785823200).

Almost surely, 2^320668046400 is an apocalyptic number.

320668046400 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 320668046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600036595200).

320668046400 is an abundant number, since it is smaller than the sum of its proper divisors (879405144000).

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

320668046400 is a wasteful number, since it uses less digits than its factorization.

320668046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 320668046400 in words is "three hundred twenty billion, six hundred sixty-eight million, forty-six thousand, four hundred".