74308659120 has 320 divisors, whose sum is σ = 270662676480. Its totient is φ = 18708019200.

The previous prime is 74308659119. The next prime is 74308659133. The reversal of 74308659120 is 2195680347.

74308659120 is a `hidden beast` number, since 7 + 4 + 30 + 8 + 6 + 591 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2731827 + ... + 2758893.

It is an arithmetic number, because the mean of its divisors is an integer number (845820864).

It is a 1-persistent number, because it is pandigital, but 2⋅74308659120 = 148617318240 is not.

Almost surely, 2^74308659120 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 74308659120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331338240).

74308659120 is an abundant number, since it is smaller than the sum of its proper divisors (196354017360).

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

74308659120 is a wasteful number, since it uses less digits than its factorization.

74308659120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27161 (or 27149 counting only the distinct ones).

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

The spelling of 74308659120 in words is "seventy-four billion, three hundred eight million, six hundred fifty-nine thousand, one hundred twenty".