320993036397792 has 768 divisors, whose sum is σ = 1056788353152000. Its totient is φ = 94746236682240.

The previous prime is 320993036397779. The next prime is 320993036397793. The reversal of 320993036397792 is 297793630399023.

320993036397792 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 93 + 0 + 363 + 97 + 7 + 92 = 666.

It is a super-2 number, since 2×320993036397792² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 320993036397792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320993036397793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8471913184 + ... + 8471951072.

It is an arithmetic number, because the mean of its divisors is an integer number (1376026501500).

Almost surely, 2^{320993036397792} is an apocalyptic number.

320993036397792 is a gapful number since it is divisible by the number (32) 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 320993036397792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528394176576000).

320993036397792 is an abundant number, since it is smaller than the sum of its proper divisors (735795316754208).

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

320993036397792 is a wasteful number, since it uses less digits than its factorization.

320993036397792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38133 (or 38097 counting only the distinct ones).

The product of its (nonzero) digits is 624974616, while the sum is 72.

The spelling of 320993036397792 in words is "three hundred twenty trillion, nine hundred ninety-three billion, thirty-six million, three hundred ninety-seven thousand, seven hundred ninety-two".