4678852464 has 640 divisors, whose sum is σ = 17098905600. Its totient is φ = 1204346880.

The previous prime is 4678852463. The next prime is 4678852517. The reversal of 4678852464 is 4642588764.

It is a happy number.

4678852464 is a `hidden beast` number, since 46 + 78 + 8 + 524 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4678852464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678852463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52571332 + ... + 52571420.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2^4678852464 is an apocalyptic number.

4678852464 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 4678852464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549452800).

4678852464 is an abundant number, since it is smaller than the sum of its proper divisors (12420053136).

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

4678852464 is a wasteful number, since it uses less digits than its factorization.

4678852464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4678852464 is about 68402.1378613271. The cubic root of 4678852464 is about 1672.5525958243.

The spelling of 4678852464 in words is "four billion, six hundred seventy-eight million, eight hundred fifty-two thousand, four hundred sixty-four".