4916618784 has 384 divisors, whose sum is σ = 18010460160. Its totient is φ = 1267660800.

The previous prime is 4916618737. The next prime is 4916618797. The reversal of 4916618784 is 4878166194.

4916618784 is a `hidden beast` number, since 4 + 9 + 16 + 618 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2322432) is a multiple of the sum of its prime divisors (567).

It is a self number, because there is not a number n which added to its sum of digits gives 4916618784.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17496724 + ... + 17497004.

It is an arithmetic number, because the mean of its divisors is an integer number (46902240).

Almost surely, 2^4916618784 is an apocalyptic number.

4916618784 is a gapful number since it is divisible by the number (44) 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 4916618784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005230080).

4916618784 is an abundant number, since it is smaller than the sum of its proper divisors (13093841376).

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

4916618784 is a wasteful number, since it uses less digits than its factorization.

4916618784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4916618784 is about 70118.6051201819. The cubic root of 4916618784 is about 1700.4172890270.

The spelling of 4916618784 in words is "four billion, nine hundred sixteen million, six hundred eighteen thousand, seven hundred eighty-four".