9747984960 has 896 divisors, whose sum is σ = 43891200000. Its totient is φ = 1982693376.

The previous prime is 9747984907. The next prime is 9747984997. The reversal of 9747984960 is 694897479.

9747984960 is a `hidden beast` number, since 9 + 74 + 79 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19534791 + ... + 19535289.

Almost surely, 2^9747984960 is an apocalyptic number.

9747984960 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 9747984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600000).

9747984960 is an abundant number, since it is smaller than the sum of its proper divisors (34143215040).

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

9747984960 is a wasteful number, since it uses less digits than its factorization.

9747984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 9747984960 is about 98731.8842117378. The cubic root of 9747984960 is about 2136.1821584330.

The spelling of 9747984960 in words is "nine billion, seven hundred forty-seven million, nine hundred eighty-four thousand, nine hundred sixty".