9429963664 has 45 divisors (see below), whose sum is σ = 20091614011. Its totient is φ = 4284404960.

The previous prime is 9429963623. The next prime is 9429963667. The reversal of 9429963664 is 4663699249.

The square root of 9429963664 is 97108.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9429963599 and 9429963608.

It is not an unprimeable number, because it can be changed into a prime (9429963667) 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 8 ways as a sum of consecutive naturals, for example, 4271649 + ... + 4273855.

Almost surely, 2^9429963664 is an apocalyptic number.

9429963664 is the 97108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9429963664

9429963664 is an abundant number, since it is smaller than the sum of its proper divisors (10661650347).

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

9429963664 is an equidigital number, since it uses as much as digits as its factorization.

9429963664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 2220 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 58.

The cubic root of 9429963664 is about 2112.6943608108.

The spelling of 9429963664 in words is "nine billion, four hundred twenty-nine million, nine hundred sixty-three thousand, six hundred sixty-four".