4692504960 has 768 divisors, whose sum is σ = 19835262720. Its totient is φ = 1045094400.

The previous prime is 4692504923. The next prime is 4692504967. The reversal of 4692504960 is 694052964.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4692504967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22239255 + ... + 22239465.

It is an arithmetic number, because the mean of its divisors is an integer number (25827165).

Almost surely, 2^4692504960 is an apocalyptic number.

4692504960 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 4692504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917631360).

4692504960 is an abundant number, since it is smaller than the sum of its proper divisors (15142757760).

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

4692504960 is a wasteful number, since it uses less digits than its factorization.

4692504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4692504960 is about 68501.8609966182. The cubic root of 4692504960 is about 1674.1778051395.

The spelling of 4692504960 in words is "four billion, six hundred ninety-two million, five hundred four thousand, nine hundred sixty".