9870734640 has 320 divisors, whose sum is σ = 34397798400. Its totient is φ = 2324754432.

The previous prime is 9870734561. The next prime is 9870734723. The reversal of 9870734640 is 464370789.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9870734640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11490531 + ... + 11491389.

It is an arithmetic number, because the mean of its divisors is an integer number (107493120).

Almost surely, 2^9870734640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9870734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198899200).

9870734640 is an abundant number, since it is smaller than the sum of its proper divisors (24527063760).

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

9870734640 is a wasteful number, since it uses less digits than its factorization.

9870734640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 9870734640 is about 99351.5708985017. The cubic root of 9870734640 is about 2145.1112748659. Note that the first 3 decimals are identical.

The spelling of 9870734640 in words is "nine billion, eight hundred seventy million, seven hundred thirty-four thousand, six hundred forty".