73383542784 has 208 divisors, whose sum is σ = 220117070640. Its totient is φ = 24461180928.

The previous prime is 73383542753. The next prime is 73383542849. The reversal of 73383542784 is 48724538337.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁷ ⋅ (2!)⁴.

73383542784 is a `hidden beast` number, since 7 + 338 + 35 + 4 + 278 + 4 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=6, B=48.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13547520) is a multiple of the sum of its prime divisors (5).

It is a self number, because there is not a number n which added to its sum of digits gives 73383542784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24461180927 + 24461180928 + 24461180929.

Almost surely, 2^73383542784 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 73383542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110058535320).

73383542784 is an abundant number, since it is smaller than the sum of its proper divisors (146733527856).

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

73383542784 is an frugal number, since it uses more digits than its factorization.

73383542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 5 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

Multiplying 73383542784 by its sum of digits (54), we get a square (3962711310336 = 1990656²).

73383542784 divided by its sum of digits (54) gives a 4-th power (1358954496 = 192⁴).

The spelling of 73383542784 in words is "seventy-three billion, three hundred eighty-three million, five hundred forty-two thousand, seven hundred eighty-four".