320687615605600 has 288 divisors, whose sum is σ = 796660049243520. Its totient is φ = 126034207703040.

The previous prime is 320687615605583. The next prime is 320687615605607. The reversal of 320687615605600 is 6506516786023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320687615605607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11880385704 + ... + 11880412696.

It is an arithmetic number, because the mean of its divisors is an integer number (2766180726540).

Almost surely, 2^{320687615605600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320687615605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398330024621760).

320687615605600 is an abundant number, since it is smaller than the sum of its proper divisors (475972433637920).

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

320687615605600 is a wasteful number, since it uses less digits than its factorization.

320687615605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28002 (or 27989 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 320687615605600 in words is "three hundred twenty trillion, six hundred eighty-seven billion, six hundred fifteen million, six hundred five thousand, six hundred".