74643204096 has 288 divisors, whose sum is σ = 220868182080. Its totient is φ = 24279515136.

The previous prime is 74643204089. The next prime is 74643204109. The reversal of 74643204096 is 69040234647.

It is a happy number.

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

It is a super-2 number, since 2×74643204096² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 148395781 + ... + 148396283.

It is an arithmetic number, because the mean of its divisors is an integer number (766903410).

Almost surely, 2^74643204096 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 74643204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110434091040).

74643204096 is an abundant number, since it is smaller than the sum of its proper divisors (146224977984).

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

74643204096 is a wasteful number, since it uses less digits than its factorization.

74643204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 74643204096 in words is "seventy-four billion, six hundred forty-three million, two hundred four thousand, ninety-six".