9962933760 has 960 divisors, whose sum is σ = 40752391680. Its totient is φ = 2229534720.

The previous prime is 9962933749. The next prime is 9962933767. The reversal of 9962933760 is 673392699.

It is a happy number.

9962933760 is a `hidden beast` number, since 9 + 9 + 629 + 3 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×9962933760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9962933697 and 9962933706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962933767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269268462 + ... + 269268498.

It is an arithmetic number, because the mean of its divisors is an integer number (42450408).

Almost surely, 2^9962933760 is an apocalyptic number.

9962933760 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 9962933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376195840).

9962933760 is an abundant number, since it is smaller than the sum of its proper divisors (30789457920).

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

9962933760 is a wasteful number, since it uses less digits than its factorization.

9962933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The square root of 9962933760 is about 99814.4967427077. The cubic root of 9962933760 is about 2151.7695012541.

The spelling of 9962933760 in words is "nine billion, nine hundred sixty-two million, nine hundred thirty-three thousand, seven hundred sixty".