68162344473600 has 4752 divisors, whose sum is σ = 302148566254080. Its totient is φ = 15092357529600.

The previous prime is 68162344473599. The next prime is 68162344473647. The reversal of 68162344473600 is 637444326186.

68162344473600 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 23 + 4 + 4 + 4 + 7 + 3 + 600 = 666.

It is a super-2 number, since 2×68162344473600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1286081971174 + ... + 1286081971226.

Almost surely, 2^{68162344473600} is an apocalyptic number.

68162344473600 is a gapful number since it is divisible by the number (60) 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 68162344473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151074283127040).

68162344473600 is an abundant number, since it is smaller than the sum of its proper divisors (233986221780480).

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

68162344473600 is a wasteful number, since it uses less digits than its factorization.

68162344473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

Adding to 68162344473600 its reverse (637444326186), we get a palindrome (68799788799786).

The spelling of 68162344473600 in words is "sixty-eight trillion, one hundred sixty-two billion, three hundred forty-four million, four hundred seventy-three thousand, six hundred".