4703408328960 has 576 divisors, whose sum is σ = 18288437852160. Its totient is φ = 1135176376320.

The previous prime is 4703408328943. The next prime is 4703408328967. The reversal of 4703408328960 is 698238043074.

4703408328960 is a `hidden beast` number, since 4 + 70 + 3 + 408 + 32 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4703408328897 and 4703408328906.

It is not an unprimeable number, because it can be changed into a prime (4703408328967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 86269069 + ... + 86323571.

It is an arithmetic number, because the mean of its divisors is an integer number (31750760160).

Almost surely, 2^{4703408328960} is an apocalyptic number.

4703408328960 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 4703408328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144218926080).

4703408328960 is an abundant number, since it is smaller than the sum of its proper divisors (13585029523200).

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

4703408328960 is a wasteful number, since it uses less digits than its factorization.

4703408328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54771 (or 54751 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4703408328960 in words is "four trillion, seven hundred three billion, four hundred eight million, three hundred twenty-eight thousand, nine hundred sixty".