8660534400 has 1296 divisors, whose sum is σ = 40171455090. Its totient is φ = 1765048320.

The previous prime is 8660534357. The next prime is 8660534401. The reversal of 8660534400 is 44350668.

8660534400 is a `hidden beast` number, since 8 + 6 + 605 + 3 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7427681856 + 1232852544 = 86184^2 + 35112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8660534401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 455817591 + ... + 455817609.

Almost surely, 2^8660534400 is an apocalyptic number.

8660534400 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 8660534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20085727545).

8660534400 is an abundant number, since it is smaller than the sum of its proper divisors (31510920690).

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

8660534400 is a wasteful number, since it uses less digits than its factorization.

8660534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8660534400 is about 93061.9922417310. The cubic root of 8660534400 is about 2053.5954669931.

The spelling of 8660534400 in words is "eight billion, six hundred sixty million, five hundred thirty-four thousand, four hundred".