4648857630480 has 1440 divisors, whose sum is σ = 19240068556800. Its totient is φ = 1039957761024.

The previous prime is 4648857630479. The next prime is 4648857630497. The reversal of 4648857630480 is 840367588464.

4648857630480 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 85 + 76 + 3 + 0 + 480 = 666.

It is a super-2 number, since 2×4648857630480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12266114931 + ... + 12266115309.

It is an arithmetic number, because the mean of its divisors is an integer number (13361158720).

Almost surely, 2^{4648857630480} is an apocalyptic number.

4648857630480 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 4648857630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9620034278400).

4648857630480 is an abundant number, since it is smaller than the sum of its proper divisors (14591210926320).

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

4648857630480 is a wasteful number, since it uses less digits than its factorization.

4648857630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 4648857630480 in words is "four trillion, six hundred forty-eight billion, eight hundred fifty-seven million, six hundred thirty thousand, four hundred eighty".