73364605952 has 264 divisors, whose sum is σ = 175678583808. Its totient is φ = 30331699200.

The previous prime is 73364605943. The next prime is 73364605957. The reversal of 73364605952 is 25950646337.

It is a self number, because there is not a number n which added to its sum of digits gives 73364605952.

It is not an unprimeable number, because it can be changed into a prime (73364605957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100913813 + ... + 100914539.

Almost surely, 2^73364605952 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 73364605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87839291904).

73364605952 is an abundant number, since it is smaller than the sum of its proper divisors (102313977856).

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

73364605952 is a wasteful number, since it uses less digits than its factorization.

73364605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 50.

The spelling of 73364605952 in words is "seventy-three billion, three hundred sixty-four million, six hundred five thousand, nine hundred fifty-two".