4487660100 has 729 divisors, whose sum is σ = 18627206871. Its totient is φ = 900345600.

The previous prime is 4487660087. The next prime is 4487660117. The reversal of 4487660100 is 10667844.

The square root of 4487660100 is 66990.

It is a perfect power (a square), and thus also a powerful number.

4487660100 is a `hidden beast` number, since 4 + 48 + 7 + 6 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61685316 + 4425974784 = 7854^2 + 66528^2 .

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

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 242 ways as a sum of consecutive naturals, for example, 154746886 + ... + 154746914.

Almost surely, 2^4487660100 is an apocalyptic number.

4487660100 is the 66990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4487660100

4487660100 is an abundant number, since it is smaller than the sum of its proper divisors (14139546771).

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

4487660100 is a wasteful number, since it uses less digits than its factorization.

4487660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 4487660100 is about 1649.4531521154.

Multiplying 4487660100 by its sum of digits (36), we get a square (161555763600 = 401940²).

4487660100 divided by its sum of digits (36) gives a square (124657225 = 11165²).

It can be divided in two parts, 44876 and 60100, that added together give a 4-th power (104976 = 18⁴).

The spelling of 4487660100 in words is "four billion, four hundred eighty-seven million, six hundred sixty thousand, one hundred".