9795824640 has 704 divisors, whose sum is σ = 40748728320. Its totient is φ = 2185297920.

The previous prime is 9795824627. The next prime is 9795824669. The reversal of 9795824640 is 464285979.

9795824640 is a `hidden beast` number, since 97 + 95 + 8 + 2 + 464 + 0 = 666.

It is a super-2 number, since 2×9795824640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 51286945 + ... + 51287135.

Almost surely, 2^9795824640 is an apocalyptic number.

9795824640 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 9795824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20374364160).

9795824640 is an abundant number, since it is smaller than the sum of its proper divisors (30952903680).

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

9795824640 is a wasteful number, since it uses less digits than its factorization.

9795824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9795824640 is about 98973.8583667425. The cubic root of 9795824640 is about 2139.6710007520.

The spelling of 9795824640 in words is "nine billion, seven hundred ninety-five million, eight hundred twenty-four thousand, six hundred forty".