4873768704 has 180 divisors, whose sum is σ = 16609290544. Its totient is φ = 1392463872.

The previous prime is 4873768699. The next prime is 4873768751. The reversal of 4873768704 is 4078673784.

4873768704 is a `hidden beast` number, since 487 + 37 + 68 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128364 + ... + 161940.

Almost surely, 2^4873768704 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 4873768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304645272).

4873768704 is an abundant number, since it is smaller than the sum of its proper divisors (11735521840).

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

4873768704 is an equidigital number, since it uses as much as digits as its factorization.

4873768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33612 (or 33589 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 4873768704 is about 69812.3821682085. The cubic root of 4873768704 is about 1695.4629544410.

The spelling of 4873768704 in words is "four billion, eight hundred seventy-three million, seven hundred sixty-eight thousand, seven hundred four".