9919776384 has 288 divisors, whose sum is σ = 33921201600. Its totient is φ = 2773177344.

The previous prime is 9919776343. The next prime is 9919776413. The reversal of 9919776384 is 4836779199.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2651187 + ... + 2654925.

It is an arithmetic number, because the mean of its divisors is an integer number (117781950).

Almost surely, 2^9919776384 is an apocalyptic number.

9919776384 is a gapful number since it is divisible by the number (94) 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 9919776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16960600800).

9919776384 is an abundant number, since it is smaller than the sum of its proper divisors (24001425216).

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

9919776384 is a wasteful number, since it uses less digits than its factorization.

9919776384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3798 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 9919776384 is about 99598.0741982494. The cubic root of 9919776384 is about 2148.6579967653.

The spelling of 9919776384 in words is "nine billion, nine hundred nineteen million, seven hundred seventy-six thousand, three hundred eighty-four".