9871617672 has 192 divisors, whose sum is σ = 31396210560. Its totient is φ = 2743372800.

The previous prime is 9871617653. The next prime is 9871617703. The reversal of 9871617672 is 2767161789.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6089022 + ... + 6090642.

It is an arithmetic number, because the mean of its divisors is an integer number (163521930).

Almost surely, 2^9871617672 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 9871617672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698105280).

9871617672 is an abundant number, since it is smaller than the sum of its proper divisors (21524592888).

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

9871617672 is a wasteful number, since it uses less digits than its factorization.

9871617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1957 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 9871617672 is about 99356.0147751509. The cubic root of 9871617672 is about 2145.1752398927.

The spelling of 9871617672 in words is "nine billion, eight hundred seventy-one million, six hundred seventeen thousand, six hundred seventy-two".