4758728921856 has 2304 divisors, whose sum is σ = 19030400040960. Its totient is φ = 1152888422400.

The previous prime is 4758728921813. The next prime is 4758728921963. The reversal of 4758728921856 is 6581298278574.

4758728921856 is a `hidden beast` number, since 4 + 7 + 5 + 87 + 289 + 218 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (541900800) is a multiple of the sum of its prime divisors (210).

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 255 ways as a sum of consecutive naturals, for example, 36326174911 + ... + 36326175041.

It is an arithmetic number, because the mean of its divisors is an integer number (8259722240).

Almost surely, 2^{4758728921856} is an apocalyptic number.

4758728921856 is a gapful number since it is divisible by the number (46) 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 4758728921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515200020480).

4758728921856 is an abundant number, since it is smaller than the sum of its proper divisors (14271671119104).

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

4758728921856 is a wasteful number, since it uses less digits than its factorization.

4758728921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 72.

The spelling of 4758728921856 in words is "four trillion, seven hundred fifty-eight billion, seven hundred twenty-eight million, nine hundred twenty-one thousand, eight hundred fifty-six".