4676603904000 has 1536 divisors, whose sum is σ = 20139398323200. Its totient is φ = 1067699404800.

The previous prime is 4676603903971. The next prime is 4676603904019. The reversal of 4676603904000 is 4093066764.

4676603904000 is a `hidden beast` number, since 467 + 6 + 60 + 3 + 90 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5419007569 + ... + 5419008431.

It is an arithmetic number, because the mean of its divisors is an integer number (13111587450).

Almost surely, 2^{4676603904000} is an apocalyptic number.

4676603904000 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 4676603904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069699161600).

4676603904000 is an abundant number, since it is smaller than the sum of its proper divisors (15462794419200).

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

4676603904000 is an frugal number, since it uses more digits than its factorization.

4676603904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 4676603904000 in words is "four trillion, six hundred seventy-six billion, six hundred three million, nine hundred four thousand".