9753793920 has 192 divisors, whose sum is σ = 36272199600. Its totient is φ = 2400915456.

The previous prime is 9753793897. The next prime is 9753793927. The reversal of 9753793920 is 293973579.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9753793927) 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, 9751 + ... + 140009.

Almost surely, 2^9753793920 is an apocalyptic number.

9753793920 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 9753793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136099800).

9753793920 is an abundant number, since it is smaller than the sum of its proper divisors (26518405680).

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

9753793920 is a wasteful number, since it uses less digits than its factorization.

9753793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130297 (or 130282 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The square root of 9753793920 is about 98761.2976828474. The cubic root of 9753793920 is about 2136.6064010732.

The spelling of 9753793920 in words is "nine billion, seven hundred fifty-three million, seven hundred ninety-three thousand, nine hundred twenty".