4788790640640 has 960 divisors, whose sum is σ = 17712173015040. Its totient is φ = 1226244096000.

The previous prime is 4788790640573. The next prime is 4788790640659. The reversal of 4788790640640 is 460460978874.

4788790640640 is a `hidden beast` number, since 47 + 88 + 79 + 0 + 6 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14467645275 + ... + 14467645605.

It is an arithmetic number, because the mean of its divisors is an integer number (18450180224).

Almost surely, 2^{4788790640640} is an apocalyptic number.

4788790640640 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 4788790640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856086507520).

4788790640640 is an abundant number, since it is smaller than the sum of its proper divisors (12923382374400).

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

4788790640640 is a wasteful number, since it uses less digits than its factorization.

4788790640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4788790640640 in words is "four trillion, seven hundred eighty-eight billion, seven hundred ninety million, six hundred forty thousand, six hundred forty".