874482174720 has 864 divisors, whose sum is σ = 3786879882240. Its totient is φ = 181003714560.

The previous prime is 874482174701. The next prime is 874482174733. The reversal of 874482174720 is 27471284478.

874482174720 is a `hidden beast` number, since 8 + 7 + 448 + 2 + 174 + 7 + 20 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 245708301 + ... + 245711859.

Almost surely, 2^874482174720 is an apocalyptic number.

874482174720 is a gapful number since it is divisible by the number (80) 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 874482174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893439941120).

874482174720 is an abundant number, since it is smaller than the sum of its proper divisors (2912397707520).

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

874482174720 is a wasteful number, since it uses less digits than its factorization.

874482174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 874482174720 in words is "eight hundred seventy-four billion, four hundred eighty-two million, one hundred seventy-four thousand, seven hundred twenty".