73441665264 has 160 divisors (see below), whose sum is σ = 219897354240. Its totient is φ = 20906726400.

The previous prime is 73441665251. The next prime is 73441665313. The reversal of 73441665264 is 46256614437.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501729 + ... + 631359.

It is an arithmetic number, because the mean of its divisors is an integer number (1374358464).

Almost surely, 2^73441665264 is an apocalyptic number.

73441665264 is a gapful number since it is divisible by the number (74) 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 73441665264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109948677120).

73441665264 is an abundant number, since it is smaller than the sum of its proper divisors (146455688976).

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

73441665264 is a wasteful number, since it uses less digits than its factorization.

73441665264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129719 (or 129713 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 73441665264 in words is "seventy-three billion, four hundred forty-one million, six hundred sixty-five thousand, two hundred sixty-four".