9873743040 has 1008 divisors, whose sum is σ = 42569489664. Its totient is φ = 2090188800.

The previous prime is 9873743039. The next prime is 9873743059. The reversal of 9873743040 is 403473789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161864610 + ... + 161864670.

Almost surely, 2^9873743040 is an apocalyptic number.

9873743040 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 9873743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284744832).

9873743040 is an abundant number, since it is smaller than the sum of its proper divisors (32695746624).

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

9873743040 is a wasteful number, since it uses less digits than its factorization.

9873743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 9873743040 is about 99366.7099183625. The cubic root of 9873743040 is about 2145.3291815530.

The spelling of 9873743040 in words is "nine billion, eight hundred seventy-three million, seven hundred forty-three thousand, forty".