4661487360 has 576 divisors, whose sum is σ = 18052608000. Its totient is φ = 1134673920.

The previous prime is 4661487319. The next prime is 4661487367. The reversal of 4661487360 is 637841664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661487367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20355726 + ... + 20355954.

Almost surely, 2^4661487360 is an apocalyptic number.

4661487360 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 4661487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026304000).

4661487360 is an abundant number, since it is smaller than the sum of its proper divisors (13391120640).

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

4661487360 is a wasteful number, since it uses less digits than its factorization.

4661487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4661487360 is about 68275.0859391623. The cubic root of 4661487360 is about 1670.4808588154.

The spelling of 4661487360 in words is "four billion, six hundred sixty-one million, four hundred eighty-seven thousand, three hundred sixty".