73642794624 has 576 divisors, whose sum is σ = 257976482400. Its totient is φ = 20849633280.

The previous prime is 73642794601. The next prime is 73642794629. The reversal of 73642794624 is 42649724637.

73642794624 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 2 + 7 + 9 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×73642794624² (a number of 23 digits) contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (73642794629) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 321584142 + ... + 321584370.

Almost surely, 2^73642794624 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 73642794624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128988241200).

73642794624 is an abundant number, since it is smaller than the sum of its proper divisors (184333687776).

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

73642794624 is a wasteful number, since it uses less digits than its factorization.

73642794624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 452 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 73642794624 in words is "seventy-three billion, six hundred forty-two million, seven hundred ninety-four thousand, six hundred twenty-four".