320903127367680 has 1152 divisors, whose sum is σ = 1277396045888256. Its totient is φ = 67585336934400.

The previous prime is 320903127367649. The next prime is 320903127367723. The reversal of 320903127367680 is 86763721309023.

It is a self number, because there is not a number n which added to its sum of digits gives 320903127367680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4779506910 + ... + 4779574050.

It is an arithmetic number, because the mean of its divisors is an integer number (1108850734278).

Almost surely, 2^{320903127367680} is an apocalyptic number.

320903127367680 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 320903127367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638698022944128).

320903127367680 is an abundant number, since it is smaller than the sum of its proper divisors (956492918520576).

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

320903127367680 is a wasteful number, since it uses less digits than its factorization.

320903127367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67224 (or 67192 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 320903127367680 in words is "three hundred twenty trillion, nine hundred three billion, one hundred twenty-seven million, three hundred sixty-seven thousand, six hundred eighty".