4686278688 has 288 divisors, whose sum is σ = 16517644416. Its totient is φ = 1227239424.

The previous prime is 4686278677. The next prime is 4686278689. The reversal of 4686278688 is 8868726864.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4686278688² = 43922415883206002688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (4686278689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4271356 + ... + 4272452.

It is an arithmetic number, because the mean of its divisors is an integer number (57352932).

Almost surely, 2^4686278688 is an apocalyptic number.

4686278688 is a gapful number since it is divisible by the number (48) 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 4686278688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258822208).

4686278688 is an abundant number, since it is smaller than the sum of its proper divisors (11831365728).

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

4686278688 is a wasteful number, since it uses less digits than its factorization.

4686278688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The square root of 4686278688 is about 68456.3999053412. The cubic root of 4686278688 is about 1673.4370138700.

The spelling of 4686278688 in words is "four billion, six hundred eighty-six million, two hundred seventy-eight thousand, six hundred eighty-eight".