4784966688096 has 480 divisors, whose sum is σ = 16506563673600. Its totient is φ = 1331303952384.

The previous prime is 4784966688071. The next prime is 4784966688221. The reversal of 4784966688096 is 6908866694874.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 262915605 + ... + 262933803.

It is an arithmetic number, because the mean of its divisors is an integer number (34388674320).

Almost surely, 2^{4784966688096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4784966688096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253281836800).

4784966688096 is an abundant number, since it is smaller than the sum of its proper divisors (11721596985504).

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

4784966688096 is a wasteful number, since it uses less digits than its factorization.

4784966688096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18608 (or 18591 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 81.

The spelling of 4784966688096 in words is "four trillion, seven hundred eighty-four billion, nine hundred sixty-six million, six hundred eighty-eight thousand, ninety-six".