9662890000 has 75 divisors (see below), whose sum is σ = 23418646603. Its totient is φ = 3861224000.

The previous prime is 9662889997. The next prime is 9662890007. The reversal of 9662890000 is 982669.

It is a happy number.

The square root of 9662890000 is 98300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 757570576 + 8905319424 = 27524^2 + 94368^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9662890007) 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 14 ways as a sum of consecutive naturals, for example, 9829509 + ... + 9830491.

Almost surely, 2^9662890000 is an apocalyptic number.

9662890000 is the 98300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9662890000

9662890000 is an abundant number, since it is smaller than the sum of its proper divisors (13755756603).

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

9662890000 is an frugal number, since it uses more digits than its factorization.

9662890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 9662890000 is about 2129.9480543071.

Multiplying 9662890000 by its product of nonzero digits (46656), we get a square (450831795840000 = 21232800²).

The spelling of 9662890000 in words is "nine billion, six hundred sixty-two million, eight hundred ninety thousand".