320533664640 has 1024 divisors, whose sum is σ = 1238492160000. Its totient is φ = 70447104000.

The previous prime is 320533664611. The next prime is 320533664657. The reversal of 320533664640 is 46466335023.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 320533664592 and 320533664601.

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, 3173600590 + ... + 3173600690.

It is an arithmetic number, because the mean of its divisors is an integer number (1209465000).

Almost surely, 2^320533664640 is an apocalyptic number.

320533664640 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 320533664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619246080000).

320533664640 is an abundant number, since it is smaller than the sum of its proper divisors (917958495360).

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

320533664640 is a wasteful number, since it uses less digits than its factorization.

320533664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

Adding to 320533664640 its reverse (46466335023), we get a palindrome (366999999663).

The spelling of 320533664640 in words is "three hundred twenty billion, five hundred thirty-three million, six hundred sixty-four thousand, six hundred forty".