9958734336 has 80 divisors (see below), whose sum is σ = 26607297024. Its totient is φ = 3309993984.

The previous prime is 9958734277. The next prime is 9958734343. The reversal of 9958734336 is 6334378599.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533025 + ... + 551391.

Almost surely, 2^9958734336 is an apocalyptic number.

9958734336 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 9958734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303648512).

9958734336 is an abundant number, since it is smaller than the sum of its proper divisors (16648562688).

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

9958734336 is a wasteful number, since it uses less digits than its factorization.

9958734336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18741 (or 18725 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

The square root of 9958734336 is about 99793.4583828018. The cubic root of 9958734336 is about 2151.4671317379.

The spelling of 9958734336 in words is "nine billion, nine hundred fifty-eight million, seven hundred thirty-four thousand, three hundred thirty-six".