4608474393600 has 2112 divisors, whose sum is σ = 21380033971200. Its totient is φ = 956709273600.

The previous prime is 4608474393571. The next prime is 4608474393617. The reversal of 4608474393600 is 63934748064.

4608474393600 is a `hidden beast` number, since 460 + 84 + 7 + 43 + 9 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4311013866 + ... + 4311014934.

Almost surely, 2^{4608474393600} is an apocalyptic number.

4608474393600 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 4608474393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690016985600).

4608474393600 is an abundant number, since it is smaller than the sum of its proper divisors (16771559577600).

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

4608474393600 is a wasteful number, since it uses less digits than its factorization.

4608474393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4608474393600 in words is "four trillion, six hundred eight billion, four hundred seventy-four million, three hundred ninety-three thousand, six hundred".