4689135648 has 72 divisors (see below), whose sum is σ = 13386826908. Its totient is φ = 1556938752.

The previous prime is 4689135629. The next prime is 4689135679. The reversal of 4689135648 is 8465319864.

4689135648 is a `hidden beast` number, since 4 + 68 + 9 + 13 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3402622224 + 1286513424 = 58332^2 + 35868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4689135594 and 4689135603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42340 + ... + 105692.

Almost surely, 2^4689135648 is an apocalyptic number.

4689135648 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 4689135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693413454).

4689135648 is an abundant number, since it is smaller than the sum of its proper divisors (8697691260).

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

4689135648 is a wasteful number, since it uses less digits than its factorization.

4689135648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63626 (or 63615 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4689135648 is about 68477.2637303799. The cubic root of 4689135648 is about 1673.7770115313. Note that the first 3 decimals are identical.

The spelling of 4689135648 in words is "four billion, six hundred eighty-nine million, one hundred thirty-five thousand, six hundred forty-eight".