9816577920 has 768 divisors, whose sum is σ = 38494310400. Its totient is φ = 2380824576.

The previous prime is 9816577913. The next prime is 9816577949. The reversal of 9816577920 is 297756189.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 124260441 + ... + 124260519.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^9816577920 is an apocalyptic number.

9816577920 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 9816577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

9816577920 is an abundant number, since it is smaller than the sum of its proper divisors (28677732480).

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

9816577920 is a wasteful number, since it uses less digits than its factorization.

9816577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9816577920 is about 99078.6451259806. The cubic root of 9816577920 is about 2141.1809593708.

The spelling of 9816577920 in words is "nine billion, eight hundred sixteen million, five hundred seventy-seven thousand, nine hundred twenty".