4497168574080 has 1792 divisors, whose sum is σ = 20124632183040. Its totient is φ = 935210188800.

The previous prime is 4497168574033. The next prime is 4497168574099. The reversal of 4497168574080 is 804758617944.

4497168574080 is a `hidden beast` number, since 4 + 49 + 7 + 16 + 8 + 574 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4497168573999 and 4497168574017.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3099357355 + ... + 3099358805.

It is an arithmetic number, because the mean of its divisors is an integer number (11230263495).

Almost surely, 2^{4497168574080} is an apocalyptic number.

4497168574080 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 4497168574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062316091520).

4497168574080 is an abundant number, since it is smaller than the sum of its proper divisors (15627463608960).

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

4497168574080 is a wasteful number, since it uses less digits than its factorization.

4497168574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 4497168574080 in words is "four trillion, four hundred ninety-seven billion, one hundred sixty-eight million, five hundred seventy-four thousand, eighty".