4683982464 has 448 divisors, whose sum is σ = 16375063680. Its totient is φ = 1306368000.

The previous prime is 4683982423. The next prime is 4683982469. The reversal of 4683982464 is 4642893864.

4683982464 is a `hidden beast` number, since 4 + 6 + 8 + 398 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4683982464² = 43879383446119022592, which contains 22 as substring.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 4683982464.

It is not an unprimeable number, because it can be changed into a prime (4683982469) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46376014 + ... + 46376114.

Almost surely, 2^4683982464 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 4683982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187531840).

4683982464 is an abundant number, since it is smaller than the sum of its proper divisors (11691081216).

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

4683982464 is an equidigital number, since it uses as much as digits as its factorization.

4683982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 4683982464 is about 68439.6264162802. The cubic root of 4683982464 is about 1673.1636474266.

The spelling of 4683982464 in words is "four billion, six hundred eighty-three million, nine hundred eighty-two thousand, four hundred sixty-four".