4500346786560 has 432 divisors, whose sum is σ = 15879543904224. Its totient is φ = 1176334368768.

The previous prime is 4500346786513. The next prime is 4500346786567. The reversal of 4500346786560 is 656876430054.

4500346786560 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 3 + 4 + 6 + 78 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4500346786497 and 4500346786506.

It is not an unprimeable number, because it can be changed into a prime (4500346786567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791893479 + ... + 791899161.

It is an arithmetic number, because the mean of its divisors is an integer number (36758203482).

Almost surely, 2^{4500346786560} is an apocalyptic number.

4500346786560 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 4500346786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939771952112).

4500346786560 is an abundant number, since it is smaller than the sum of its proper divisors (11379197117664).

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

4500346786560 is a wasteful number, since it uses less digits than its factorization.

4500346786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4500346786560 in words is "four trillion, five hundred billion, three hundred forty-six million, seven hundred eighty-six thousand, five hundred sixty".