4678819536600 has 576 divisors, whose sum is σ = 17284250880000. Its totient is φ = 1124838835200.

The previous prime is 4678819536583. The next prime is 4678819536631. The reversal of 4678819536600 is 66359188764.

4678819536600 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 8 + 19 + 5 + 3 + 6 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3206866671 + ... + 3206868129.

It is an arithmetic number, because the mean of its divisors is an integer number (30007380000).

Almost surely, 2^{4678819536600} is an apocalyptic number.

4678819536600 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 4678819536600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642125440000).

4678819536600 is an abundant number, since it is smaller than the sum of its proper divisors (12605431343400).

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

4678819536600 is a wasteful number, since it uses less digits than its factorization.

4678819536600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4678819536600 in words is "four trillion, six hundred seventy-eight billion, eight hundred nineteen million, five hundred thirty-six thousand, six hundred".