4863665664 has 480 divisors, whose sum is σ = 16899730848. Its totient is φ = 1338163200.

The previous prime is 4863665663. The next prime is 4863665683. The reversal of 4863665664 is 4665663684.

It is a happy number.

4863665664 is a `hidden beast` number, since 48 + 6 + 36 + 6 + 566 + 4 = 666.

Its product of digits (14929920) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 4863665664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863665663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79732194 + ... + 79732254.

Almost surely, 2^4863665664 is an apocalyptic number.

4863665664 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 4863665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449865424).

4863665664 is an abundant number, since it is smaller than the sum of its proper divisors (12036065184).

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

4863665664 is a wasteful number, since it uses less digits than its factorization.

4863665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The square root of 4863665664 is about 69739.9861198724. The cubic root of 4863665664 is about 1694.2906118609.

The spelling of 4863665664 in words is "four billion, eight hundred sixty-three million, six hundred sixty-five thousand, six hundred sixty-four".