874761047424 has 960 divisors, whose sum is σ = 3000373770240. Its totient is φ = 252502272000.

The previous prime is 874761047371. The next prime is 874761047441. The reversal of 874761047424 is 424740167478.

874761047424 is a `hidden beast` number, since 8 + 74 + 76 + 10 + 474 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3227900409 + ... + 3227900679.

It is an arithmetic number, because the mean of its divisors is an integer number (3125389344).

Almost surely, 2^874761047424 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 874761047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500186885120).

874761047424 is an abundant number, since it is smaller than the sum of its proper divisors (2125612722816).

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

874761047424 is a wasteful number, since it uses less digits than its factorization.

874761047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 874761047424 in words is "eight hundred seventy-four billion, seven hundred sixty-one million, forty-seven thousand, four hundred twenty-four".