9966529790 has 64 divisors (see below), whose sum is σ = 21141969408. Its totient is φ = 3311280000.

The previous prime is 9966529757. The next prime is 9966529799. The reversal of 9966529790 is 979256699.

9966529790 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966529799) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 642425 + ... + 657755.

It is an arithmetic number, because the mean of its divisors is an integer number (330343272).

Almost surely, 2^9966529790 is an apocalyptic number.

9966529790 is an abundant number, since it is smaller than the sum of its proper divisors (11175439618).

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

9966529790 is a wasteful number, since it uses less digits than its factorization.

9966529790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633.

The product of its (nonzero) digits is 16533720, while the sum is 62.

The square root of 9966529790 is about 99832.5086832941. The cubic root of 9966529790 is about 2152.0283572994.

The spelling of 9966529790 in words is "nine billion, nine hundred sixty-six million, five hundred twenty-nine thousand, seven hundred ninety".