9530940816 has 400 divisors, whose sum is σ = 30302078400. Its totient is φ = 2882221056.

The previous prime is 9530940787. The next prime is 9530940821. The reversal of 9530940816 is 6180490359.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87439770 + ... + 87439878.

It is an arithmetic number, because the mean of its divisors is an integer number (75755196).

Almost surely, 2^9530940816 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 9530940816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15151039200).

9530940816 is an abundant number, since it is smaller than the sum of its proper divisors (20771137584).

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

9530940816 is a wasteful number, since it uses less digits than its factorization.

9530940816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9530940816 is about 97626.5374578040. The cubic root of 9530940816 is about 2120.2085958269.

It can be divided in two parts, 95 and 30940816, that added together give a triangular number (30940911 = T₇₈₆₆).

The spelling of 9530940816 in words is "nine billion, five hundred thirty million, nine hundred forty thousand, eight hundred sixteen".