4461660000 has 360 divisors, whose sum is σ = 18124810704. Its totient is φ = 1019520000.

The previous prime is 4461659953. The next prime is 4461660041. The reversal of 4461660000 is 661644.

4461660000 is a `hidden beast` number, since 4 + 46 + 16 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1258230 + ... + 1261770.

Almost surely, 2^4461660000 is an apocalyptic number.

4461660000 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 4461660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062405352).

4461660000 is an abundant number, since it is smaller than the sum of its proper divisors (13663150704).

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

4461660000 is a wasteful number, since it uses less digits than its factorization.

4461660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4461660000 is about 66795.6585415549. The cubic root of 4461660000 is about 1646.2615083523.

The spelling of 4461660000 in words is "four billion, four hundred sixty-one million, six hundred sixty thousand".