4648467648 has 168 divisors, whose sum is σ = 14231680960. Its totient is φ = 1334361600.

The previous prime is 4648467617. The next prime is 4648467671. The reversal of 4648467648 is 8467648464.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436143 + ... + 446673.

Almost surely, 2^4648467648 is an apocalyptic number.

4648467648 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 4648467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115840480).

4648467648 is an abundant number, since it is smaller than the sum of its proper divisors (9583213312).

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

4648467648 is a wasteful number, since it uses less digits than its factorization.

4648467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10587 (or 10566 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 57.

The square root of 4648467648 is about 68179.6718091250. The cubic root of 4648467648 is about 1668.9241696986.

The spelling of 4648467648 in words is "four billion, six hundred forty-eight million, four hundred sixty-seven thousand, six hundred forty-eight".