9471720960 has 640 divisors, whose sum is σ = 36957634560. Its totient is φ = 2285273088.

The previous prime is 9471720941. The next prime is 9471720971. The reversal of 9471720960 is 690271749.

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, 74580417 + ... + 74580543.

It is an arithmetic number, because the mean of its divisors is an integer number (57746304).

Almost surely, 2^9471720960 is an apocalyptic number.

9471720960 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 9471720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478817280).

9471720960 is an abundant number, since it is smaller than the sum of its proper divisors (27485913600).

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

9471720960 is a wasteful number, since it uses less digits than its factorization.

9471720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9471720960 is about 97322.7669150441. The cubic root of 9471720960 is about 2115.8082118142.

The spelling of 9471720960 in words is "nine billion, four hundred seventy-one million, seven hundred twenty thousand, nine hundred sixty".