9713753280 has 1120 divisors, whose sum is σ = 44752637952. Its totient is φ = 1940889600.

The previous prime is 9713753279. The next prime is 9713753293. The reversal of 9713753280 is 823573179.

It is a happy number.

9713753280 is a `hidden beast` number, since 9 + 7 + 1 + 37 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61870962 + ... + 61871118.

Almost surely, 2^9713753280 is an apocalyptic number.

9713753280 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 9713753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22376318976).

9713753280 is an abundant number, since it is smaller than the sum of its proper divisors (35038884672).

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

9713753280 is a wasteful number, since it uses less digits than its factorization.

9713753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9713753280 is about 98558.3749866038. The cubic root of 9713753280 is about 2133.6787053683.

The spelling of 9713753280 in words is "nine billion, seven hundred thirteen million, seven hundred fifty-three thousand, two hundred eighty".