9721788480 has 672 divisors, whose sum is σ = 37100743680. Its totient is φ = 2418647040.

The previous prime is 9721788467. The next prime is 9721788481. The reversal of 9721788480 is 848871279.

It is a happy number.

9721788480 is a `hidden beast` number, since 9 + 72 + 17 + 88 + 480 = 666.

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 (9721788481) 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, 89190666 + ... + 89190774.

It is an arithmetic number, because the mean of its divisors is an integer number (55209440).

Almost surely, 2^9721788480 is an apocalyptic number.

9721788480 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 9721788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550371840).

9721788480 is an abundant number, since it is smaller than the sum of its proper divisors (27378955200).

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

9721788480 is a wasteful number, since it uses less digits than its factorization.

9721788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 9721788480 is about 98599.1302192874. The cubic root of 9721788480 is about 2134.2668683403.

The spelling of 9721788480 in words is "nine billion, seven hundred twenty-one million, seven hundred eighty-eight thousand, four hundred eighty".