9743431680 has 480 divisors, whose sum is σ = 37031314320. Its totient is φ = 2441871360.

The previous prime is 9743431673. The next prime is 9743431681. The reversal of 9743431680 is 861343479.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9743431681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100135 + ... + 14100825.

Almost surely, 2^9743431680 is an apocalyptic number.

9743431680 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 9743431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515657160).

9743431680 is an abundant number, since it is smaller than the sum of its proper divisors (27287882640).

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

9743431680 is a wasteful number, since it uses less digits than its factorization.

9743431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9743431680 is about 98708.8227059770. The cubic root of 9743431680 is about 2135.8495033469.

The spelling of 9743431680 in words is "nine billion, seven hundred forty-three million, four hundred thirty-one thousand, six hundred eighty".