320062740480000 has 1800 divisors, whose sum is σ = 1324303300191872. Its totient is φ = 72942944256000.

The previous prime is 320062740479917. The next prime is 320062740480013. The reversal of 320062740480000 is 84047260023.

320062740480000 is a `hidden beast` number, since 3 + 20 + 0 + 627 + 4 + 0 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 352880639547 + ... + 352880640453.

Almost surely, 2^{320062740480000} is an apocalyptic number.

320062740480000 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 320062740480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662151650095936).

320062740480000 is an abundant number, since it is smaller than the sum of its proper divisors (1004240559711872).

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

320062740480000 is an frugal number, since it uses more digits than its factorization.

320062740480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 320062740480000 in words is "three hundred twenty trillion, sixty-two billion, seven hundred forty million, four hundred eighty thousand".