8688441600 has 648 divisors, whose sum is σ = 34695591840. Its totient is φ = 2061434880.

The previous prime is 8688441599. The next prime is 8688441637. The reversal of 8688441600 is 61448868.

It is a super-2 number, since 2×8688441600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 71 ways as a sum of consecutive naturals, for example, 18604567 + ... + 18605033.

It is an arithmetic number, because the mean of its divisors is an integer number (53542580).

Almost surely, 2^8688441600 is an apocalyptic number.

8688441600 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 8688441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347795920).

8688441600 is an abundant number, since it is smaller than the sum of its proper divisors (26007150240).

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

8688441600 is a wasteful number, since it uses less digits than its factorization.

8688441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8688441600 is about 93211.8104104839. The cubic root of 8688441600 is about 2055.7988972960.

The spelling of 8688441600 in words is "eight billion, six hundred eighty-eight million, four hundred forty-one thousand, six hundred".