874196880480 has 480 divisors, whose sum is σ = 3846470664960. Its totient is φ = 181651092480.

The previous prime is 874196880467. The next prime is 874196880497. The reversal of 874196880480 is 84088691478.

874196880480 is a `hidden beast` number, since 8 + 7 + 4 + 19 + 68 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 559911 + ... + 1435929.

It is an arithmetic number, because the mean of its divisors is an integer number (8013480552).

Almost surely, 2^874196880480 is an apocalyptic number.

874196880480 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 874196880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923235332480).

874196880480 is an abundant number, since it is smaller than the sum of its proper divisors (2972273784480).

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

874196880480 is a wasteful number, since it uses less digits than its factorization.

874196880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876064 (or 876047 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 874196880480 in words is "eight hundred seventy-four billion, one hundred ninety-six million, eight hundred eighty thousand, four hundred eighty".