4684901760 has 768 divisors, whose sum is σ = 21097843200. Its totient is φ = 971550720.

The previous prime is 4684901759. The next prime is 4684901783. The reversal of 4684901760 is 671094864.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313669 + ... + 9314171.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^4684901760 is an apocalyptic number.

4684901760 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 4684901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

4684901760 is an abundant number, since it is smaller than the sum of its proper divisors (16412941440).

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

4684901760 is a wasteful number, since it uses less digits than its factorization.

4684901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4684901760 is about 68446.3421959129. The cubic root of 4684901760 is about 1673.2731007280.

The spelling of 4684901760 in words is "four billion, six hundred eighty-four million, nine hundred one thousand, seven hundred sixty".