73895404320 has 288 divisors, whose sum is σ = 264723863040. Its totient is φ = 18745896960.

The previous prime is 73895404309. The next prime is 73895404343. The reversal of 73895404320 is 2340459837.

73895404320 is a `hidden beast` number, since 7 + 3 + 89 + 540 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2619732 + ... + 2647788.

It is an arithmetic number, because the mean of its divisors is an integer number (919180080).

Almost surely, 2^73895404320 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 73895404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132361931520).

73895404320 is an abundant number, since it is smaller than the sum of its proper divisors (190828458720).

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

73895404320 is a wasteful number, since it uses less digits than its factorization.

73895404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28168 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 73895404320 in words is "seventy-three billion, eight hundred ninety-five million, four hundred four thousand, three hundred twenty".