320505465600 has 540 divisors, whose sum is σ = 1192639362376. Its totient is φ = 84921384960.

The previous prime is 320505465587. The next prime is 320505465607. The reversal of 320505465600 is 6564505023.

It is a happy number.

320505465600 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 0 + 5 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (320505465607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84497304 + ... + 84501096.

Almost surely, 2^320505465600 is an apocalyptic number.

320505465600 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 320505465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596319681188).

320505465600 is an abundant number, since it is smaller than the sum of its proper divisors (872133896776).

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

320505465600 is a wasteful number, since it uses less digits than its factorization.

320505465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 320505465600 in words is "three hundred twenty billion, five hundred five million, four hundred sixty-five thousand, six hundred".