4617420768 has 96 divisors (see below), whose sum is σ = 13506948000. Its totient is φ = 1534629888.

The previous prime is 4617420757. The next prime is 4617420799. The reversal of 4617420768 is 8670247164.

4617420768 is a `hidden beast` number, since 4 + 617 + 4 + 20 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×4617420768⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293880 + ... + 309192.

It is an arithmetic number, because the mean of its divisors is an integer number (140697375).

Almost surely, 2^4617420768 is an apocalyptic number.

4617420768 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 4617420768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753474000).

4617420768 is an abundant number, since it is smaller than the sum of its proper divisors (8889527232).

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

4617420768 is a wasteful number, since it uses less digits than its factorization.

4617420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15681 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4617420768 is about 67951.6060737346. The cubic root of 4617420768 is about 1665.2003135346.

The spelling of 4617420768 in words is "four billion, six hundred seventeen million, four hundred twenty thousand, seven hundred sixty-eight".