4620134016 has 192 divisors, whose sum is σ = 13992376320. Its totient is φ = 1460422656.

The previous prime is 4620134009. The next prime is 4620134017. The reversal of 4620134016 is 6104310264.

4620134016 is a `hidden beast` number, since 4 + 620 + 1 + 34 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4620134017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364306 + ... + 3365678.

It is an arithmetic number, because the mean of its divisors is an integer number (72876960).

Almost surely, 2^4620134016 is an apocalyptic number.

4620134016 is a gapful number since it is divisible by the number (46) 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 4620134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996188160).

4620134016 is an abundant number, since it is smaller than the sum of its proper divisors (9372242304).

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

4620134016 is a wasteful number, since it uses less digits than its factorization.

4620134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4620134016 is about 67971.5677029742. The cubic root of 4620134016 is about 1665.5264131021.

The spelling of 4620134016 in words is "four billion, six hundred twenty million, one hundred thirty-four thousand, sixteen".