4923759104 has 240 divisors, whose sum is σ = 11755497600. Its totient is φ = 2051850240.

The previous prime is 4923759083. The next prime is 4923759107. The reversal of 4923759104 is 4019573294.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4923759107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55323092 + ... + 55323180.

It is an arithmetic number, because the mean of its divisors is an integer number (48981240).

Almost surely, 2^4923759104 is an apocalyptic number.

4923759104 is a gapful number since it is divisible by the number (44) 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 4923759104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877748800).

4923759104 is an abundant number, since it is smaller than the sum of its proper divisors (6831738496).

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

4923759104 is a wasteful number, since it uses less digits than its factorization.

4923759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 4923759104 is about 70169.5026631941. The cubic root of 4923759104 is about 1701.2400530176.

The spelling of 4923759104 in words is "four billion, nine hundred twenty-three million, seven hundred fifty-nine thousand, one hundred four".