8649553920 has 768 divisors, whose sum is σ = 34909056000. Its totient is φ = 1783627776.

The previous prime is 8649553909. The next prime is 8649553963. The reversal of 8649553920 is 293559468.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118487004 + ... + 118487076.

It is an arithmetic number, because the mean of its divisors is an integer number (45454500).

Almost surely, 2^8649553920 is an apocalyptic number.

8649553920 is a gapful number since it is divisible by the number (80) 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 8649553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528000).

8649553920 is an abundant number, since it is smaller than the sum of its proper divisors (26259502080).

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

8649553920 is a wasteful number, since it uses less digits than its factorization.

8649553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 8649553920 is about 93002.9780168356. The cubic root of 8649553920 is about 2052.7271987623.

The spelling of 8649553920 in words is "eight billion, six hundred forty-nine million, five hundred fifty-three thousand, nine hundred twenty".