4661159580 has 720 divisors, whose sum is σ = 19033512960. Its totient is φ = 934053120.

The previous prime is 4661159561. The next prime is 4661159593. The reversal of 4661159580 is 859511664.

4661159580 is a `hidden beast` number, since 4 + 6 + 6 + 11 + 59 + 580 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 59001981 + ... + 59002059.

Almost surely, 2^4661159580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4661159580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516756480).

4661159580 is an abundant number, since it is smaller than the sum of its proper divisors (14372353380).

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

4661159580 is a wasteful number, since it uses less digits than its factorization.

4661159580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4661159580 is about 68272.6854605852. The cubic root of 4661159580 is about 1670.4417037126.

The spelling of 4661159580 in words is "four billion, six hundred sixty-one million, one hundred fifty-nine thousand, five hundred eighty".