4678137288 has 256 divisors, whose sum is σ = 15033600000. Its totient is φ = 1333013760.

The previous prime is 4678137287. The next prime is 4678137293. The reversal of 4678137288 is 8827318764.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4678137283) 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 63 ways as a sum of consecutive naturals, for example, 7809613 + ... + 7810211.

It is an arithmetic number, because the mean of its divisors is an integer number (58725000).

Almost surely, 2^4678137288 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 4678137288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516800000).

4678137288 is an abundant number, since it is smaller than the sum of its proper divisors (10355462712).

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

4678137288 is a wasteful number, since it uses less digits than its factorization.

4678137288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 4678137288 is about 68396.9099302008. The cubic root of 4678137288 is about 1672.4673733304.

The spelling of 4678137288 in words is "four billion, six hundred seventy-eight million, one hundred thirty-seven thousand, two hundred eighty-eight".