4663515648 has 320 divisors, whose sum is σ = 14534784000. Its totient is φ = 1313832960.

The previous prime is 4663515617. The next prime is 4663515677. The reversal of 4663515648 is 8465153664.

It is a super-3 number, since 3×4663515648³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4663515597 and 4663515606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23434653 + ... + 23434851.

It is an arithmetic number, because the mean of its divisors is an integer number (45421200).

Almost surely, 2^4663515648 is an apocalyptic number.

4663515648 is a gapful number since it is divisible by the number (48) 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 4663515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267392000).

4663515648 is an abundant number, since it is smaller than the sum of its proper divisors (9871268352).

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

4663515648 is a wasteful number, since it uses less digits than its factorization.

4663515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 4663515648 is about 68289.9381168266. The cubic root of 4663515648 is about 1670.7231080315.

The spelling of 4663515648 in words is "four billion, six hundred sixty-three million, five hundred fifteen thousand, six hundred forty-eight".