4787660617344 has 192 divisors, whose sum is σ = 15184392612480. Its totient is φ = 1435849113600.

The previous prime is 4787660617297. The next prime is 4787660617361. The reversal of 4787660617344 is 4437160667874.

4787660617344 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 6 + 6 + 0 + 617 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4787660617344² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718312 + ... + 3176679.

It is an arithmetic number, because the mean of its divisors is an integer number (79085378190).

Almost surely, 2^{4787660617344} is an apocalyptic number.

4787660617344 is a gapful number since it is divisible by the number (44) 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 4787660617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592196306240).

4787660617344 is an abundant number, since it is smaller than the sum of its proper divisors (10396731995136).

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

4787660617344 is a wasteful number, since it uses less digits than its factorization.

4787660617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895119 (or 3895104 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 4787660617344 in words is "four trillion, seven hundred eighty-seven billion, six hundred sixty million, six hundred seventeen thousand, three hundred forty-four".