4767840000 has 1080 divisors, whose sum is σ = 21914884992. Its totient is φ = 967680000.

The previous prime is 4767839977. The next prime is 4767840001. The reversal of 4767840000 is 487674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767840001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110879979 + ... + 110880021.

Almost surely, 2^4767840000 is an apocalyptic number.

4767840000 is a gapful number since it is divisible by the number (40) 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 4767840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957442496).

4767840000 is an abundant number, since it is smaller than the sum of its proper divisors (17147044992).

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

4767840000 is a wasteful number, since it uses less digits than its factorization.

4767840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4767840000 is about 69049.5474279158. The cubic root of 4767840000 is about 1683.0895528641.

It can be divided in two parts, 47678 and 40000, that added together give a palindrome (87678).

The spelling of 4767840000 in words is "four billion, seven hundred sixty-seven million, eight hundred forty thousand".