874005479424 has 720 divisors, whose sum is σ = 3265568656896. Its totient is φ = 226934784000.

The previous prime is 874005479423. The next prime is 874005479441. The reversal of 874005479424 is 424974500478.

874005479424 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 0 + 547 + 94 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874005479423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306559599 + ... + 306562449.

Almost surely, 2^874005479424 is an apocalyptic number.

874005479424 is a gapful number since it is divisible by the number (84) 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 874005479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632784328448).

874005479424 is an abundant number, since it is smaller than the sum of its proper divisors (2391563177472).

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

874005479424 is an equidigital number, since it uses as much as digits as its factorization.

874005479424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 874005479424 in words is "eight hundred seventy-four billion, five million, four hundred seventy-nine thousand, four hundred twenty-four".