9947829416 has 32 divisors (see below), whose sum is σ = 21320288640. Its totient is φ = 4262653248.

The previous prime is 9947829407. The next prime is 9947829427. The reversal of 9947829416 is 6149287499.

9947829416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 471101 + ... + 491763.

It is an arithmetic number, because the mean of its divisors is an integer number (666259020).

Almost surely, 2^9947829416 is an apocalyptic number.

It is an amenable number.

9947829416 is an abundant number, since it is smaller than the sum of its proper divisors (11372459224).

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

9947829416 is a wasteful number, since it uses less digits than its factorization.

9947829416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29273 (or 29269 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 59.

The square root of 9947829416 is about 99738.8059683893. The cubic root of 9947829416 is about 2150.6815517992.

The spelling of 9947829416 in words is "nine billion, nine hundred forty-seven million, eight hundred twenty-nine thousand, four hundred sixteen".