9795202560 has 640 divisors, whose sum is σ = 40917381120. Its totient is φ = 2189721600.

The previous prime is 9795202531. The next prime is 9795202577. The reversal of 9795202560 is 652025979.

9795202560 is a `hidden beast` number, since 9 + 79 + 520 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9883665 + ... + 9884655.

It is an arithmetic number, because the mean of its divisors is an integer number (63933408).

Almost surely, 2^9795202560 is an apocalyptic number.

9795202560 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 9795202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458690560).

9795202560 is an abundant number, since it is smaller than the sum of its proper divisors (31122178560).

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

9795202560 is a wasteful number, since it uses less digits than its factorization.

9795202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9795202560 is about 98970.7156688280. The cubic root of 9795202560 is about 2139.6257068041.

The spelling of 9795202560 in words is "nine billion, seven hundred ninety-five million, two hundred two thousand, five hundred sixty".