4677263136 has 768 divisors, whose sum is σ = 18424627200. Its totient is φ = 1119744000.

The previous prime is 4677263131. The next prime is 4677263137. The reversal of 4677263136 is 6313627764.

4677263136 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 2 + 631 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4677263091 and 4677263100.

It is not an unprimeable number, because it can be changed into a prime (4677263131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46309486 + ... + 46309586.

It is an arithmetic number, because the mean of its divisors is an integer number (23990400).

Almost surely, 2^4677263136 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 4677263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212313600).

4677263136 is an abundant number, since it is smaller than the sum of its proper divisors (13747364064).

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

4677263136 is a wasteful number, since it uses less digits than its factorization.

4677263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 4677263136 is about 68390.5193429616. The cubic root of 4677263136 is about 1672.3631949876.

The spelling of 4677263136 in words is "four billion, six hundred seventy-seven million, two hundred sixty-three thousand, one hundred thirty-six".