4515648480 has 384 divisors, whose sum is σ = 18649128960. Its totient is φ = 998645760.

The previous prime is 4515648463. The next prime is 4515648497. The reversal of 4515648480 is 848465154.

It is a happy number.

4515648480 is a `hidden beast` number, since 4 + 5 + 1 + 564 + 8 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4515648463) and next prime (4515648497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935032 + ... + 939848.

It is an arithmetic number, because the mean of its divisors is an integer number (48565440).

Almost surely, 2^4515648480 is an apocalyptic number.

4515648480 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 4515648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324564480).

4515648480 is an abundant number, since it is smaller than the sum of its proper divisors (14133480480).

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

4515648480 is a wasteful number, since it uses less digits than its factorization.

4515648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4515648480 is about 67198.5749848909. The cubic root of 4515648480 is about 1652.8751194356.

It can be divided in two parts, 45156 and 48480, that added together give a square (93636 = 306²).

The spelling of 4515648480 in words is "four billion, five hundred fifteen million, six hundred forty-eight thousand, four hundred eighty".