4658734080 has 1056 divisors, whose sum is σ = 21888292608. Its totient is φ = 884736000.

The previous prime is 4658734061. The next prime is 4658734117. The reversal of 4658734080 is 804378564.

4658734080 is a `hidden beast` number, since 465 + 8 + 73 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×4658734080³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46126030 + ... + 46126130.

Almost surely, 2^4658734080 is an apocalyptic number.

4658734080 is a gapful number since it is divisible by the number (40) 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 4658734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944146304).

4658734080 is an abundant number, since it is smaller than the sum of its proper divisors (17229558528).

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

4658734080 is a wasteful number, since it uses less digits than its factorization.

4658734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4658734080 is about 68254.9198226765. The cubic root of 4658734080 is about 1670.1519074888.

The spelling of 4658734080 in words is "four billion, six hundred fifty-eight million, seven hundred thirty-four thousand, eighty".