4788292029696 has 2016 divisors, whose sum is σ = 18301681664000. Its totient is φ = 1244393902080.

The previous prime is 4788292029691. The next prime is 4788292029751. The reversal of 4788292029696 is 6969202928874.

4788292029696 is a `hidden beast` number, since 47 + 8 + 8 + 292 + 0 + 296 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4788292029691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 37703086785 + ... + 37703086911.

Almost surely, 2^{4788292029696} 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 4788292029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150840832000).

4788292029696 is an abundant number, since it is smaller than the sum of its proper divisors (13513389634304).

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

4788292029696 is an equidigital number, since it uses as much as digits as its factorization.

4788292029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 4788292029696 in words is "four trillion, seven hundred eighty-eight billion, two hundred ninety-two million, twenty-nine thousand, six hundred ninety-six".