9671788800 has 432 divisors, whose sum is σ = 35955268160. Its totient is φ = 2575411200.

The previous prime is 9671788799. The next prime is 9671788807. The reversal of 9671788800 is 88871769.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (9671788807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13996455 + ... + 13997145.

Almost surely, 2^9671788800 is an apocalyptic number.

9671788800 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 9671788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977634080).

9671788800 is an abundant number, since it is smaller than the sum of its proper divisors (26283479360).

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

9671788800 is an frugal number, since it uses more digits than its factorization.

9671788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 9671788800 is about 98345.2530628703. The cubic root of 9671788800 is about 2130.6016947232.

The spelling of 9671788800 in words is "nine billion, six hundred seventy-one million, seven hundred eighty-eight thousand, eight hundred".