74151577728 has 192 divisors, whose sum is σ = 218702484000. Its totient is φ = 24102457344.

The previous prime is 74151577727. The next prime is 74151577741. The reversal of 74151577728 is 82777515147.

74151577728 is a `hidden beast` number, since 7 + 41 + 5 + 1 + 577 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (74151577727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51962551 + ... + 51963977.

Almost surely, 2^74151577728 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 74151577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109351242000).

74151577728 is an abundant number, since it is smaller than the sum of its proper divisors (144550906272).

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

74151577728 is a wasteful number, since it uses less digits than its factorization.

74151577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2524 counting only the distinct ones).

The product of its digits is 3841600, while the sum is 54.

The spelling of 74151577728 in words is "seventy-four billion, one hundred fifty-one million, five hundred seventy-seven thousand, seven hundred twenty-eight".