43261807680 has 672 divisors, whose sum is σ = 191130960384. Its totient is φ = 8729690112.

The previous prime is 43261807663. The next prime is 43261807709. The reversal of 43261807680 is 8670816234.

43261807680 is a `hidden beast` number, since 4 + 326 + 180 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 6024252 + ... + 6031428.

It is an arithmetic number, because the mean of its divisors is an integer number (284421072).

Almost surely, 2^43261807680 is an apocalyptic number.

43261807680 is a gapful number since it is divisible by the number (40) 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 43261807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95565480192).

43261807680 is an abundant number, since it is smaller than the sum of its proper divisors (147869152704).

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

43261807680 is a wasteful number, since it uses less digits than its factorization.

43261807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 43261807680 in words is "forty-three billion, two hundred sixty-one million, eight hundred seven thousand, six hundred eighty".