4613317632 has 528 divisors, whose sum is σ = 17249823360. Its totient is φ = 1192181760.

The previous prime is 4613317627. The next prime is 4613317633. The reversal of 4613317632 is 2367133164.

4613317632 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 3 + 17 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (4613317633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417758 + ... + 23417954.

It is an arithmetic number, because the mean of its divisors is an integer number (32670120).

Almost surely, 2^4613317632 is an apocalyptic number.

4613317632 is a gapful number since it is divisible by the number (42) 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 4613317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624911680).

4613317632 is an abundant number, since it is smaller than the sum of its proper divisors (12636505728).

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

4613317632 is a wasteful number, since it uses less digits than its factorization.

4613317632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 4613317632 is about 67921.4077592625. The cubic root of 4613317632 is about 1664.7069234983.

The spelling of 4613317632 in words is "four billion, six hundred thirteen million, three hundred seventeen thousand, six hundred thirty-two".