4963262688 has 240 divisors, whose sum is σ = 15865597440. Its totient is φ = 1516320000.

The previous prime is 4963262687. The next prime is 4963262699. The reversal of 4963262688 is 8862623694.

4963262688 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 2 + 626 + 8 + 8 = 666.

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 (4963262683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1525063 + ... + 1528313.

It is an arithmetic number, because the mean of its divisors is an integer number (66106656).

Almost surely, 2^4963262688 is an apocalyptic number.

4963262688 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 4963262688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932798720).

4963262688 is an abundant number, since it is smaller than the sum of its proper divisors (10902334752).

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

4963262688 is a wasteful number, since it uses less digits than its factorization.

4963262688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3306 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 4963262688 is about 70450.4271669094. The cubic root of 4963262688 is about 1705.7776528999. Note that the first 3 decimals are identical.

The spelling of 4963262688 in words is "four billion, nine hundred sixty-three million, two hundred sixty-two thousand, six hundred eighty-eight".