4768346880 has 720 divisors, whose sum is σ = 19285336224. Its totient is φ = 1114767360.

The previous prime is 4768346879. The next prime is 4768346911. The reversal of 4768346880 is 886438674.

4768346880 is a `hidden beast` number, since 47 + 68 + 3 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42197704 + ... + 42197816.

Almost surely, 2^4768346880 is an apocalyptic number.

4768346880 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 4768346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642668112).

4768346880 is an abundant number, since it is smaller than the sum of its proper divisors (14516989344).

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

4768346880 is a wasteful number, since it uses less digits than its factorization.

4768346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4768346880 is about 69053.2177382054. The cubic root of 4768346880 is about 1683.1491951202.

The spelling of 4768346880 in words is "four billion, seven hundred sixty-eight million, three hundred forty-six thousand, eight hundred eighty".