4516047360 has 480 divisors, whose sum is σ = 17327426688. Its totient is φ = 1077903360.

The previous prime is 4516047353. The next prime is 4516047391. The reversal of 4516047360 is 637406154.

It is a happy number.

4516047360 is a `hidden beast` number, since 45 + 1 + 604 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26104234 + ... + 26104406.

Almost surely, 2^4516047360 is an apocalyptic number.

4516047360 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 4516047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663713344).

4516047360 is an abundant number, since it is smaller than the sum of its proper divisors (12811379328).

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

4516047360 is a wasteful number, since it uses less digits than its factorization.

4516047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

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

The square root of 4516047360 is about 67201.5428394319. The cubic root of 4516047360 is about 1652.9237857138.

The spelling of 4516047360 in words is "four billion, five hundred sixteen million, forty-seven thousand, three hundred sixty".