874468478160 has 240 divisors, whose sum is σ = 2954670264000. Its totient is φ = 231773184000.

The previous prime is 874468478153. The next prime is 874468478183. The reversal of 874468478160 is 61874864478.

874468478160 is a `hidden beast` number, since 8 + 7 + 4 + 468 + 4 + 7 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 90174432 + ... + 90184128.

It is an arithmetic number, because the mean of its divisors is an integer number (12311126100).

Almost surely, 2^874468478160 is an apocalyptic number.

874468478160 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 874468478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477335132000).

874468478160 is an abundant number, since it is smaller than the sum of its proper divisors (2080201785840).

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

874468478160 is a wasteful number, since it uses less digits than its factorization.

874468478160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10466 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 874468478160 in words is "eight hundred seventy-four billion, four hundred sixty-eight million, four hundred seventy-eight thousand, one hundred sixty".