73895328000 has 1728 divisors, whose sum is σ = 321736326912. Its totient is φ = 16721510400.

The previous prime is 73895327951. The next prime is 73895328019. The reversal of 73895328000 is 82359837.

73895328000 is a `hidden beast` number, since 7 + 38 + 9 + 532 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1718495979 + ... + 1718496021.

It is an arithmetic number, because the mean of its divisors is an integer number (186190004).

Almost surely, 2^73895328000 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 73895328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160868163456).

73895328000 is an abundant number, since it is smaller than the sum of its proper divisors (247840998912).

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

73895328000 is a wasteful number, since it uses less digits than its factorization.

73895328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 73895328000 in words is "seventy-three billion, eight hundred ninety-five million, three hundred twenty-eight thousand".