4758788620800 has 1200 divisors, whose sum is σ = 18827349738120. Its totient is φ = 1182927421440.

The previous prime is 4758788620777. The next prime is 4758788620813. The reversal of 4758788620800 is 80268878574.

4758788620800 is a `hidden beast` number, since 47 + 587 + 8 + 8 + 6 + 2 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1096862425344 + 3661926195456 = 1047312^2 + 1913616^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1921189162 + ... + 1921191638.

Almost surely, 2^{4758788620800} is an apocalyptic number.

4758788620800 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 4758788620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413674869060).

4758788620800 is an abundant number, since it is smaller than the sum of its proper divisors (14068561117320).

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

4758788620800 is a wasteful number, since it uses less digits than its factorization.

4758788620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 4758788620800 in words is "four trillion, seven hundred fifty-eight billion, seven hundred eighty-eight million, six hundred twenty thousand, eight hundred".