4705504801920 has 1152 divisors, whose sum is σ = 18043039422720. Its totient is φ = 1129166438400.

The previous prime is 4705504801913. The next prime is 4705504801927. The reversal of 4705504801920 is 291084055074.

4705504801920 is a `hidden beast` number, since 4 + 7 + 0 + 550 + 4 + 8 + 0 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4705504801913) and next prime (4705504801927).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (4705504801927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7118766390 + ... + 7118767050.

It is an arithmetic number, because the mean of its divisors is an integer number (15662360610).

Almost surely, 2^{4705504801920} is an apocalyptic number.

4705504801920 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 4705504801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021519711360).

4705504801920 is an abundant number, since it is smaller than the sum of its proper divisors (13337534620800).

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

4705504801920 is a wasteful number, since it uses less digits than its factorization.

4705504801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 4705504801920 its reverse (291084055074), we get a palindrome (4996588856994).

The spelling of 4705504801920 in words is "four trillion, seven hundred five billion, five hundred four million, eight hundred one thousand, nine hundred twenty".