9795372480 has 672 divisors, whose sum is σ = 38077079040. Its totient is φ = 2299207680.

The previous prime is 9795372473. The next prime is 9795372481. The reversal of 9795372480 is 842735979.

9795372480 is a `hidden beast` number, since 9 + 7 + 9 + 537 + 24 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9795372481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54117990 + ... + 54118170.

It is an arithmetic number, because the mean of its divisors is an integer number (56662320).

Almost surely, 2^9795372480 is an apocalyptic number.

9795372480 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 9795372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038539520).

9795372480 is an abundant number, since it is smaller than the sum of its proper divisors (28281706560).

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

9795372480 is a wasteful number, since it uses less digits than its factorization.

9795372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 9795372480 is about 98971.5741008498. The cubic root of 9795372480 is about 2139.6380789524.

The spelling of 9795372480 in words is "nine billion, seven hundred ninety-five million, three hundred seventy-two thousand, four hundred eighty".