4716135648 has 576 divisors, whose sum is σ = 17571520512. Its totient is φ = 1167851520.

The previous prime is 4716135647. The next prime is 4716135649. The reversal of 4716135648 is 8465316174.

4716135648 is a `hidden beast` number, since 4 + 71 + 6 + 13 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4716135647) and next prime (4716135649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716135647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24435840 + ... + 24436032.

It is an arithmetic number, because the mean of its divisors is an integer number (30506112).

Almost surely, 2^4716135648 is an apocalyptic number.

4716135648 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 4716135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785760256).

4716135648 is an abundant number, since it is smaller than the sum of its proper divisors (12855384864).

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

4716135648 is a wasteful number, since it uses less digits than its factorization.

4716135648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4716135648 is about 68674.1264815214. The cubic root of 4716135648 is about 1676.9833961594.

The spelling of 4716135648 in words is "four billion, seven hundred sixteen million, one hundred thirty-five thousand, six hundred forty-eight".