4788701717760 has 1152 divisors, whose sum is σ = 18385403904000. Its totient is φ = 1177473024000.

The previous prime is 4788701717743. The next prime is 4788701717827. The reversal of 4788701717760 is 677171078874.

4788701717760 is a `hidden beast` number, since 478 + 8 + 70 + 17 + 17 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2454484785 + ... + 2454486735.

It is an arithmetic number, because the mean of its divisors is an integer number (15959552000).

Almost surely, 2^{4788701717760} is an apocalyptic number.

4788701717760 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 4788701717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192701952000).

4788701717760 is an abundant number, since it is smaller than the sum of its proper divisors (13596702186240).

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

4788701717760 is a wasteful number, since it uses less digits than its factorization.

4788701717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 25815552, while the sum is 63.

The spelling of 4788701717760 in words is "four trillion, seven hundred eighty-eight billion, seven hundred one million, seven hundred seventeen thousand, seven hundred sixty".