4513662720 has 432 divisors, whose sum is σ = 17999235072. Its totient is φ = 1022976000.

The previous prime is 4513662649. The next prime is 4513662733. The reversal of 4513662720 is 272663154.

4513662720 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 6 + 627 + 20 = 666.

It is a super-2 number, since 2×4513662720² = 40746302299835596800, which contains 22 as substring.

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, 17982595 + ... + 17982845.

It is an arithmetic number, because the mean of its divisors is an integer number (41664896).

Almost surely, 2^4513662720 is an apocalyptic number.

4513662720 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 4513662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999617536).

4513662720 is an abundant number, since it is smaller than the sum of its proper divisors (13485572352).

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

4513662720 is a wasteful number, since it uses less digits than its factorization.

4513662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 491 counting only the distinct ones).

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

The square root of 4513662720 is about 67183.7980468506. The cubic root of 4513662720 is about 1652.6327995305.

The spelling of 4513662720 in words is "four billion, five hundred thirteen million, six hundred sixty-two thousand, seven hundred twenty".