9793658880 has 336 divisors, whose sum is σ = 35085308544. Its totient is φ = 2524446720.

The previous prime is 9793658867. The next prime is 9793658881. The reversal of 9793658880 is 888563979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9793658881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11427412 + ... + 11428268.

Almost surely, 2^9793658880 is an apocalyptic number.

9793658880 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 9793658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542654272).

9793658880 is an abundant number, since it is smaller than the sum of its proper divisors (25291649664).

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

9793658880 is a wasteful number, since it uses less digits than its factorization.

9793658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 9793658880 is about 98962.9166910515. The cubic root of 9793658880 is about 2139.5133024268.

It can be divided in two parts, 97936 and 58880, that added together give a square (156816 = 396²).

The spelling of 9793658880 in words is "nine billion, seven hundred ninety-three million, six hundred fifty-eight thousand, eight hundred eighty".