4768212480 has 320 divisors, whose sum is σ = 16027545600. Its totient is φ = 1207664640.

The previous prime is 4768212373. The next prime is 4768212551. The reversal of 4768212480 is 842128674.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17594745 + ... + 17595015.

It is an arithmetic number, because the mean of its divisors is an integer number (50086080).

Almost surely, 2^4768212480 is an apocalyptic number.

4768212480 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 4768212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013772800).

4768212480 is an abundant number, since it is smaller than the sum of its proper divisors (11259333120).

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

4768212480 is a wasteful number, since it uses less digits than its factorization.

4768212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4768212480 is about 69052.2445688770. The cubic root of 4768212480 is about 1683.1333812974.

The spelling of 4768212480 in words is "four billion, seven hundred sixty-eight million, two hundred twelve thousand, four hundred eighty".