9984461760 has 1344 divisors, whose sum is σ = 46970606592. Its totient is φ = 1958805504.

The previous prime is 9984461749. The next prime is 9984461801. The reversal of 9984461760 is 671644899.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 9984461697 and 9984461706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120294679 + ... + 120294761.

It is an arithmetic number, because the mean of its divisors is an integer number (34948368).

Almost surely, 2^9984461760 is an apocalyptic number.

9984461760 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 9984461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485303296).

9984461760 is an abundant number, since it is smaller than the sum of its proper divisors (36986144832).

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

9984461760 is a wasteful number, since it uses less digits than its factorization.

9984461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9984461760 is about 99922.2785969175. The cubic root of 9984461760 is about 2153.3182408009.

It can be divided in two parts, 99844 and 61760, that added together give a square (161604 = 402²).

The spelling of 9984461760 in words is "nine billion, nine hundred eighty-four million, four hundred sixty-one thousand, seven hundred sixty".