9874642176 has 288 divisors, whose sum is σ = 33656340480. Its totient is φ = 2797369344.

The previous prime is 9874642121. The next prime is 9874642181. The reversal of 9874642176 is 6712464789.

9874642176 is a `hidden beast` number, since 9 + 8 + 7 + 464 + 2 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6143965 + ... + 6145571.

Almost surely, 2^9874642176 is an apocalyptic number.

9874642176 is a gapful number since it is divisible by the number (96) 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 9874642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828170240).

9874642176 is an abundant number, since it is smaller than the sum of its proper divisors (23781698304).

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

9874642176 is a wasteful number, since it uses less digits than its factorization.

9874642176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1746 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 9874642176 is about 99371.2341475137. The cubic root of 9874642176 is about 2145.3942998552.

The spelling of 9874642176 in words is "nine billion, eight hundred seventy-four million, six hundred forty-two thousand, one hundred seventy-six".