1606485437568 has 384 divisors, whose sum is σ = 5172138316800. Its totient is φ = 474384384000.

The previous prime is 1606485437563. The next prime is 1606485437591. The reversal of 1606485437568 is 8657345846061.

1606485437568 is a `hidden beast` number, since 1 + 6 + 0 + 64 + 8 + 5 + 4 + 3 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1606485437568² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1606485437561) 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, 717500193 + ... + 717502431.

It is an arithmetic number, because the mean of its divisors is an integer number (13469110200).

Almost surely, 2^{1606485437568} is an apocalyptic number.

1606485437568 is a gapful number since it is divisible by the number (18) 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 1606485437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586069158400).

1606485437568 is an abundant number, since it is smaller than the sum of its proper divisors (3565652879232).

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

1606485437568 is a wasteful number, since it uses less digits than its factorization.

1606485437568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 1606485437568 in words is "one trillion, six hundred six billion, four hundred eighty-five million, four hundred thirty-seven thousand, five hundred sixty-eight".