9713798640 has 1440 divisors, whose sum is σ = 46558686720. Its totient is φ = 1827422208.

The previous prime is 9713798629. The next prime is 9713798641. The reversal of 9713798640 is 468973179.

It is a happy number.

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 (9713798641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 511252551 + ... + 511252569.

Almost surely, 2^9713798640 is an apocalyptic number.

9713798640 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 9713798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279343360).

9713798640 is an abundant number, since it is smaller than the sum of its proper divisors (36844888080).

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

9713798640 is a wasteful number, since it uses less digits than its factorization.

9713798640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 9713798640 is about 98558.6051037655. The cubic root of 9713798640 is about 2133.6820265534.

The spelling of 9713798640 in words is "nine billion, seven hundred thirteen million, seven hundred ninety-eight thousand, six hundred forty".