73609516672 has 64 divisors (see below), whose sum is σ = 154566720000. Its totient is φ = 34821439488.

The previous prime is 73609516657. The next prime is 73609516699. The reversal of 73609516672 is 27661590637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1850529 + ... + 1889887.

It is an arithmetic number, because the mean of its divisors is an integer number (2415105000).

Almost surely, 2^73609516672 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 73609516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77283360000).

73609516672 is an abundant number, since it is smaller than the sum of its proper divisors (80957203328).

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

73609516672 is a wasteful number, since it uses less digits than its factorization.

73609516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40161 (or 40149 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 73609516672 in words is "seventy-three billion, six hundred nine million, five hundred sixteen thousand, six hundred seventy-two".