74087580303360 has 1280 divisors, whose sum is σ = 287832327552000. Its totient is φ = 17970814255104.

The previous prime is 74087580303257. The next prime is 74087580303403. The reversal of 74087580303360 is 6330308578047.

74087580303360 is a `hidden beast` number, since 7 + 408 + 75 + 80 + 3 + 0 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 74087580303297 and 74087580303306.

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, 67169156569 + ... + 67169157671.

It is an arithmetic number, because the mean of its divisors is an integer number (224869005900).

Almost surely, 2^{74087580303360} 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 74087580303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143916163776000).

74087580303360 is an abundant number, since it is smaller than the sum of its proper divisors (213744747248640).

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

74087580303360 is an equidigital number, since it uses as much as digits as its factorization.

74087580303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 74087580303360 in words is "seventy-four trillion, eighty-seven billion, five hundred eighty million, three hundred three thousand, three hundred sixty".