4780068480 has 384 divisors, whose sum is σ = 18502473600. Its totient is φ = 1126932480.

The previous prime is 4780068473. The next prime is 4780068493. The reversal of 4780068480 is 848600874.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2343301 + ... + 2345339.

It is an arithmetic number, because the mean of its divisors is an integer number (48183525).

Almost surely, 2^4780068480 is an apocalyptic number.

4780068480 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 4780068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251236800).

4780068480 is an abundant number, since it is smaller than the sum of its proper divisors (13722405120).

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

4780068480 is a wasteful number, since it uses less digits than its factorization.

4780068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4780068480 is about 69138.0393126678. The cubic root of 4780068480 is about 1684.5272448557.

The spelling of 4780068480 in words is "four billion, seven hundred eighty million, sixty-eight thousand, four hundred eighty".