4769355360 has 288 divisors, whose sum is σ = 18874066176. Its totient is φ = 990950400.

The previous prime is 4769355343. The next prime is 4769355401. The reversal of 4769355360 is 635539674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400695 + ... + 412425.

It is an arithmetic number, because the mean of its divisors is an integer number (65534952).

Almost surely, 2^4769355360 is an apocalyptic number.

4769355360 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 4769355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437033088).

4769355360 is an abundant number, since it is smaller than the sum of its proper divisors (14104710816).

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

4769355360 is a wasteful number, since it uses less digits than its factorization.

4769355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The square root of 4769355360 is about 69060.5195462646. The cubic root of 4769355360 is about 1683.2678457896.

The spelling of 4769355360 in words is "four billion, seven hundred sixty-nine million, three hundred fifty-five thousand, three hundred sixty".