9700093440 has 480 divisors, whose sum is σ = 36033693696. Its totient is φ = 2498273280.

The previous prime is 9700093397. The next prime is 9700093451. The reversal of 9700093440 is 443900079.

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

It is a super-3 number, since 3×9700093440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9700093395 and 9700093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19284229 + ... + 19284731.

Almost surely, 2^9700093440 is an apocalyptic number.

9700093440 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 9700093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016846848).

9700093440 is an abundant number, since it is smaller than the sum of its proper divisors (26333600256).

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

9700093440 is an equidigital number, since it uses as much as digits as its factorization.

9700093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9700093440 is about 98489.0523865470. The cubic root of 9700093440 is about 2132.6780834839.

The spelling of 9700093440 in words is "nine billion, seven hundred million, ninety-three thousand, four hundred forty".