4768178688 has 480 divisors, whose sum is σ = 17266144896. Its totient is φ = 1233321984.

The previous prime is 4768178671. The next prime is 4768178693. The reversal of 4768178688 is 8868718674.

4768178688 is a `hidden beast` number, since 476 + 8 + 1 + 7 + 86 + 88 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34804156 + ... + 34804292.

Almost surely, 2^4768178688 is an apocalyptic number.

4768178688 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 4768178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633072448).

4768178688 is an abundant number, since it is smaller than the sum of its proper divisors (12497966208).

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

4768178688 is a wasteful number, since it uses less digits than its factorization.

4768178688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The square root of 4768178688 is about 69051.9998841453. Note that the first 3 decimals coincide. The cubic root of 4768178688 is about 1683.1294052038.

The spelling of 4768178688 in words is "four billion, seven hundred sixty-eight million, one hundred seventy-eight thousand, six hundred eighty-eight".