9713817792 has 672 divisors, whose sum is σ = 36137088000. Its totient is φ = 2430590976.

The previous prime is 9713817787. The next prime is 9713817803. The reversal of 9713817792 is 2977183179.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 65193334 + ... + 65193482.

Almost surely, 2^9713817792 is an apocalyptic number.

9713817792 is a gapful number since it is divisible by the number (92) 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 9713817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544000).

9713817792 is an abundant number, since it is smaller than the sum of its proper divisors (26423270208).

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

9713817792 is a wasteful number, since it uses less digits than its factorization.

9713817792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 9713817792 is about 98558.7022641837. The cubic root of 9713817792 is about 2133.6834288284.

The spelling of 9713817792 in words is "nine billion, seven hundred thirteen million, eight hundred seventeen thousand, seven hundred ninety-two".