9962416080 has 120 divisors (see below), whose sum is σ = 33627425832. Its totient is φ = 2643121152.

The previous prime is 9962416043. The next prime is 9962416099. The reversal of 9962416080 is 806142699.

It is a happy number.

9962416080 is a `hidden beast` number, since 9 + 9 + 624 + 16 + 0 + 8 + 0 = 666.

9962416080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5735335824 + 4227080256 = 75732^2 + 65016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106722 + ... + 176958.

Almost surely, 2^9962416080 is an apocalyptic number.

9962416080 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 9962416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813712916).

9962416080 is an abundant number, since it is smaller than the sum of its proper divisors (23665009752).

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

9962416080 is a wasteful number, since it uses less digits than its factorization.

9962416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70453 (or 70444 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9962416080 is about 99811.9034985307. The cubic root of 9962416080 is about 2151.7322315316.

The spelling of 9962416080 in words is "nine billion, nine hundred sixty-two million, four hundred sixteen thousand, eighty".