73450575360 has 480 divisors, whose sum is σ = 277227925920. Its totient is φ = 18429640704.

The previous prime is 73450575323. The next prime is 73450575379. The reversal of 73450575360 is 6357505437.

73450575360 is a `hidden beast` number, since 7 + 3 + 45 + 0 + 575 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 19973842 + ... + 19977518.

It is an arithmetic number, because the mean of its divisors is an integer number (577558179).

Almost surely, 2^73450575360 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 73450575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138613962960).

73450575360 is an abundant number, since it is smaller than the sum of its proper divisors (203777350560).

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

73450575360 is a wasteful number, since it uses less digits than its factorization.

73450575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 73450575360 in words is "seventy-three billion, four hundred fifty million, five hundred seventy-five thousand, three hundred sixty".