4505893479360 has 3136 divisors, whose sum is σ = 21062101745664. Its totient is φ = 892212019200.

The previous prime is 4505893479331. The next prime is 4505893479389. The reversal of 4505893479360 is 639743985054.

4505893479360 is a `hidden beast` number, since 4 + 5 + 0 + 589 + 3 + 47 + 9 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4505893479331) and next prime (4505893479389).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 26981397997 + ... + 26981398163.

It is an arithmetic number, because the mean of its divisors is an integer number (6716231424).

Almost surely, 2^{4505893479360} is an apocalyptic number.

4505893479360 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 4505893479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531050872832).

4505893479360 is an abundant number, since it is smaller than the sum of its proper divisors (16556208266304).

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

4505893479360 is a wasteful number, since it uses less digits than its factorization.

4505893479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4505893479360 in words is "four trillion, five hundred five billion, eight hundred ninety-three million, four hundred seventy-nine thousand, three hundred sixty".