9651640752 has 320 divisors, whose sum is σ = 30868024320. Its totient is φ = 2868480000.

The previous prime is 9651640751. The next prime is 9651640819. The reversal of 9651640752 is 2570461569.

9651640752 is a `hidden beast` number, since 96 + 516 + 40 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9651640698 and 9651640707.

It is not an unprimeable number, because it can be changed into a prime (9651640751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38452627 + ... + 38452877.

It is an arithmetic number, because the mean of its divisors is an integer number (96462576).

Almost surely, 2^9651640752 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 9651640752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434012160).

9651640752 is an abundant number, since it is smaller than the sum of its proper divisors (21216383568).

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

9651640752 is a wasteful number, since it uses less digits than its factorization.

9651640752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9651640752 is about 98242.7643747874. The cubic root of 9651640752 is about 2129.1211927136.

The spelling of 9651640752 in words is "nine billion, six hundred fifty-one million, six hundred forty thousand, seven hundred fifty-two".