4678363872 has 384 divisors, whose sum is σ = 16945689600. Its totient is φ = 1222760448.

The previous prime is 4678363871. The next prime is 4678363873. The reversal of 4678363872 is 2783638764.

4678363872 is a `hidden beast` number, since 467 + 83 + 6 + 38 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (4678363871) and next prime (4678363873).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678363871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12343779 + ... + 12344157.

It is an arithmetic number, because the mean of its divisors is an integer number (44129400).

Almost surely, 2^4678363872 is an apocalyptic number.

4678363872 is a gapful number since it is divisible by the number (42) 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 4678363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472844800).

4678363872 is an abundant number, since it is smaller than the sum of its proper divisors (12267325728).

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

4678363872 is a wasteful number, since it uses less digits than its factorization.

4678363872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 4678363872 is about 68398.5663007639. The cubic root of 4678363872 is about 1672.4943746920.

It can be divided in two parts, 4 and 678363872, that added together give a palindrome (678363876).

The spelling of 4678363872 in words is "four billion, six hundred seventy-eight million, three hundred sixty-three thousand, eight hundred seventy-two".