4928800006080 has 168 divisors, whose sum is σ = 16956048530304. Its totient is φ = 1314111744000.

The previous prime is 4928800006069. The next prime is 4928800006111. The reversal of 4928800006080 is 806000088294.

It is a happy number.

4928800006080 is a `hidden beast` number, since 492 + 8 + 80 + 0 + 0 + 0 + 6 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16268785 + ... + 16568975.

Almost surely, 2^{4928800006080} is an apocalyptic number.

4928800006080 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 4928800006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478024265152).

4928800006080 is an abundant number, since it is smaller than the sum of its proper divisors (12027248524224).

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

4928800006080 is a wasteful number, since it uses less digits than its factorization.

4928800006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305915 (or 305902 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 4928800006080 in words is "four trillion, nine hundred twenty-eight billion, eight hundred million, six thousand, eighty".