8661581760 has 224 divisors, whose sum is σ = 29699712000. Its totient is φ = 2126057472.

The previous prime is 8661581759. The next prime is 8661581767. The reversal of 8661581760 is 671851668.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8661581767) 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 31 ways as a sum of consecutive naturals, for example, 5777491 + ... + 5778989.

It is an arithmetic number, because the mean of its divisors is an integer number (132588000).

Almost surely, 2^8661581760 is an apocalyptic number.

8661581760 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 8661581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849856000).

8661581760 is an abundant number, since it is smaller than the sum of its proper divisors (21038130240).

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

8661581760 is a wasteful number, since it uses less digits than its factorization.

8661581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 8661581760 is about 93067.6192883432. The cubic root of 8661581760 is about 2053.6782473755.

The spelling of 8661581760 in words is "eight billion, six hundred sixty-one million, five hundred eighty-one thousand, seven hundred sixty".