4769712000 has 512 divisors, whose sum is σ = 17955100800. Its totient is φ = 1244160000.

The previous prime is 4769711993. The next prime is 4769712019. The reversal of 4769712000 is 2179674.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26351910 + ... + 26352090.

Almost surely, 2^4769712000 is an apocalyptic number.

4769712000 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 4769712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977550400).

4769712000 is an abundant number, since it is smaller than the sum of its proper divisors (13185388800).

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

4769712000 is a wasteful number, since it uses less digits than its factorization.

4769712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4769712000 is about 69063.1015810903. The cubic root of 4769712000 is about 1683.3098015423.

The spelling of 4769712000 in words is "four billion, seven hundred sixty-nine million, seven hundred twelve thousand".