73274471424 has 990 divisors, whose sum is σ = 281657272050. Its totient is φ = 18904596480.

The previous prime is 73274471407. The next prime is 73274471507. The reversal of 73274471424 is 42417447237.

73274471424 is a `hidden beast` number, since 73 + 2 + 74 + 471 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49177497600 + 24096973824 = 221760^2 + 155232^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 73274471424.

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 89 ways as a sum of consecutive naturals, for example, 491774902 + ... + 491775050.

It is an arithmetic number, because the mean of its divisors is an integer number (284502295).

Almost surely, 2^73274471424 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 73274471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140828636025).

73274471424 is an abundant number, since it is smaller than the sum of its proper divisors (208382800626).

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

73274471424 is a wasteful number, since it uses less digits than its factorization.

73274471424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 172 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The spelling of 73274471424 in words is "seventy-three billion, two hundred seventy-four million, four hundred seventy-one thousand, four hundred twenty-four".