9836641620 has 720 divisors, whose sum is σ = 36902638080. Its totient is φ = 2183500800.

The previous prime is 9836641543. The next prime is 9836641637. The reversal of 9836641620 is 261466389.

9836641620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 161256390 + ... + 161256450.

It is an arithmetic number, because the mean of its divisors is an integer number (51253664).

Almost surely, 2^9836641620 is an apocalyptic number.

9836641620 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 9836641620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451319040).

9836641620 is an abundant number, since it is smaller than the sum of its proper divisors (27065996460).

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

9836641620 is a wasteful number, since it uses less digits than its factorization.

9836641620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9836641620 is about 99179.8448274648. The cubic root of 9836641620 is about 2142.6387239090.

The spelling of 9836641620 in words is "nine billion, eight hundred thirty-six million, six hundred forty-one thousand, six hundred twenty".