9873653760 has 456 divisors, whose sum is σ = 36641369856. Its totient is φ = 2548039680.

The previous prime is 9873653719. The next prime is 9873653767. The reversal of 9873653760 is 673563789.

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

It is a junction number, because it is equal to n+sod(n) for n = 9873653697 and 9873653706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9873653767) 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, 318504945 + ... + 318504975.

Almost surely, 2^9873653760 is an apocalyptic number.

9873653760 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 9873653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320684928).

9873653760 is an abundant number, since it is smaller than the sum of its proper divisors (26767716096).

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

9873653760 is an frugal number, since it uses more digits than its factorization.

9873653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 9873653760 is about 99366.2606723228. The cubic root of 9873653760 is about 2145.3227153943.

The spelling of 9873653760 in words is "nine billion, eight hundred seventy-three million, six hundred fifty-three thousand, seven hundred sixty".