4716601344 has 672 divisors, whose sum is σ = 18128772480. Its totient is φ = 1146617856.

The previous prime is 4716601319. The next prime is 4716601367. The reversal of 4716601344 is 4431066174.

4716601344 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 601 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4716601299 and 4716601308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127475694 + ... + 127475730.

It is an arithmetic number, because the mean of its divisors is an integer number (26977340).

Almost surely, 2^4716601344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4716601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064386240).

4716601344 is an abundant number, since it is smaller than the sum of its proper divisors (13412171136).

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

4716601344 is a wasteful number, since it uses less digits than its factorization.

4716601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4716601344 is about 68677.5170197642. The cubic root of 4716601344 is about 1677.0385923917.

The spelling of 4716601344 in words is "four billion, seven hundred sixteen million, six hundred one thousand, three hundred forty-four".