4687632768 has 384 divisors, whose sum is σ = 16342456320. Its totient is φ = 1161658368.

The previous prime is 4687632721. The next prime is 4687632769. The reversal of 4687632768 is 8672367864.

It is a tau number, because it is divible by the number of its divisors (384).

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 (4687632769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7722321 + ... + 7722927.

It is an arithmetic number, because the mean of its divisors is an integer number (42558480).

Almost surely, 2^4687632768 is an apocalyptic number.

4687632768 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 4687632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171228160).

4687632768 is an abundant number, since it is smaller than the sum of its proper divisors (11654823552).

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

4687632768 is a wasteful number, since it uses less digits than its factorization.

4687632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 649 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 4687632768 is about 68466.2892816604. The cubic root of 4687632768 is about 1673.5981758161.

The spelling of 4687632768 in words is "four billion, six hundred eighty-seven million, six hundred thirty-two thousand, seven hundred sixty-eight".