4769646336 has 288 divisors, whose sum is σ = 17361899520. Its totient is φ = 1257762816.

The previous prime is 4769646319. The next prime is 4769646337. The reversal of 4769646336 is 6336469674.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4769646337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 625201 + ... + 632783.

Almost surely, 2^4769646336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4769646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680949760).

4769646336 is an abundant number, since it is smaller than the sum of its proper divisors (12592253184).

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

4769646336 is a wasteful number, since it uses less digits than its factorization.

4769646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7608 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The square root of 4769646336 is about 69062.6261881200. The cubic root of 4769646336 is about 1683.3020768717.

The spelling of 4769646336 in words is "four billion, seven hundred sixty-nine million, six hundred forty-six thousand, three hundred thirty-six".