4132566720 has 168 divisors, whose sum is σ = 15050621664. Its totient is φ = 1037180928.

The previous prime is 4132566707. The next prime is 4132566727. The reversal of 4132566720 is 276652314.

4132566720 is a `hidden beast` number, since 41 + 32 + 566 + 7 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4132566727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6757 + ... + 91163.

Almost surely, 2^4132566720 is an apocalyptic number.

4132566720 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 4132566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525310832).

4132566720 is an abundant number, since it is smaller than the sum of its proper divisors (10918054944).

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

4132566720 is a wasteful number, since it uses less digits than its factorization.

4132566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84447 (or 84434 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4132566720 is about 64285.0427393496. The cubic root of 4132566720 is about 1604.7471928368.

The spelling of 4132566720 in words is "four billion, one hundred thirty-two million, five hundred sixty-six thousand, seven hundred twenty".