4817691648 has 704 divisors, whose sum is σ = 18613616640. Its totient is φ = 1194393600.

The previous prime is 4817691647. The next prime is 4817691673. The reversal of 4817691648 is 8461967184.

4817691648 is a `hidden beast` number, since 481 + 76 + 91 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4817691594 and 4817691603.

It is not an unprimeable number, because it can be changed into a prime (4817691643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65995740 + ... + 65995812.

Almost surely, 2^4817691648 is an apocalyptic number.

4817691648 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 4817691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306808320).

4817691648 is an abundant number, since it is smaller than the sum of its proper divisors (13795924992).

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

4817691648 is a wasteful number, since it uses less digits than its factorization.

4817691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4817691648 is about 69409.5933427073. The cubic root of 4817691648 is about 1688.9352498610.

The spelling of 4817691648 in words is "four billion, eight hundred seventeen million, six hundred ninety-one thousand, six hundred forty-eight".