4764248828080 has 480 divisors, whose sum is σ = 13953851985600. Its totient is φ = 1503096569856.

The previous prime is 4764248828047. The next prime is 4764248828111. The reversal of 4764248828080 is 808288424674.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2229408772 + ... + 2229410908.

It is an arithmetic number, because the mean of its divisors is an integer number (29070524970).

Almost surely, 2^{4764248828080} is an apocalyptic number.

4764248828080 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 4764248828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976925992800).

4764248828080 is an abundant number, since it is smaller than the sum of its proper divisors (9189603157520).

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

4764248828080 is a wasteful number, since it uses less digits than its factorization.

4764248828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 61.

The spelling of 4764248828080 in words is "four trillion, seven hundred sixty-four billion, two hundred forty-eight million, eight hundred twenty-eight thousand, eighty".