9906835680 has 576 divisors, whose sum is σ = 42723132480. Its totient is φ = 2130444288.

The previous prime is 9906835669. The next prime is 9906835681. The reversal of 9906835680 is 865386099.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906835681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3597184 + ... + 3599936.

It is an arithmetic number, because the mean of its divisors is an integer number (74172105).

Almost surely, 2^9906835680 is an apocalyptic number.

9906835680 is a gapful number since it is divisible by the number (90) 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 9906835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361566240).

9906835680 is an abundant number, since it is smaller than the sum of its proper divisors (32816296800).

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

9906835680 is a wasteful number, since it uses less digits than its factorization.

9906835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9906835680 is about 99533.0883676378. The cubic root of 9906835680 is about 2147.7232563786.

The spelling of 9906835680 in words is "nine billion, nine hundred six million, eight hundred thirty-five thousand, six hundred eighty".