74153006928 has 1440 divisors, whose sum is σ = 312696236160. Its totient is φ = 16605388800.

The previous prime is 74153006927. The next prime is 74153006947. The reversal of 74153006928 is 82960035147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74153006927) 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 287 ways as a sum of consecutive naturals, for example, 566053423 + ... + 566053553.

It is an arithmetic number, because the mean of its divisors is an integer number (217150164).

It is a 1-persistent number, because it is pandigital, but 2⋅74153006928 = 148306013856 is not.

Almost surely, 2^74153006928 is an apocalyptic number.

74153006928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74153006928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156348118080).

74153006928 is an abundant number, since it is smaller than the sum of its proper divisors (238543229232).

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

74153006928 is a wasteful number, since it uses less digits than its factorization.

74153006928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 74153006928 in words is "seventy-four billion, one hundred fifty-three million, six thousand, nine hundred twenty-eight".