73964323772352 has 448 divisors, whose sum is σ = 238177762099200. Its totient is φ = 22371813273600.

The previous prime is 73964323772321. The next prime is 73964323772359. The reversal of 73964323772352 is 25327732346937.

73964323772352 is a `hidden beast` number, since 7 + 3 + 9 + 6 + 4 + 323 + 77 + 235 + 2 = 666.

It is a super-2 number, since 2×73964323772352² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73964323772352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73964323772359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310850227 + ... + 311088077.

It is an arithmetic number, because the mean of its divisors is an integer number (531646790400).

Almost surely, 2^{73964323772352} is an apocalyptic number.

73964323772352 is a gapful number since it is divisible by the number (72) 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 73964323772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119088881049600).

73964323772352 is an abundant number, since it is smaller than the sum of its proper divisors (164213438326848).

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

73964323772352 is a wasteful number, since it uses less digits than its factorization.

73964323772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238121 (or 238105 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 63.

The spelling of 73964323772352 in words is "seventy-three trillion, nine hundred sixty-four billion, three hundred twenty-three million, seven hundred seventy-two thousand, three hundred fifty-two".