4681663488 has 176 divisors, whose sum is σ = 14345376000. Its totient is φ = 1506484224.

The previous prime is 4681663487. The next prime is 4681663531. The reversal of 4681663488 is 8843661864.

It is a super-2 number, since 2×4681663488² = 43835946029744652288, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (4681663487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798873 + ... + 804711.

Almost surely, 2^4681663488 is an apocalyptic number.

4681663488 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 4681663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172688000).

4681663488 is an abundant number, since it is smaller than the sum of its proper divisors (9663712512).

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

4681663488 is a wasteful number, since it uses less digits than its factorization.

4681663488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5873 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4681663488 is about 68422.6825548370. The cubic root of 4681663488 is about 1672.8874816592.

The spelling of 4681663488 in words is "four billion, six hundred eighty-one million, six hundred sixty-three thousand, four hundred eighty-eight".