68162430566400 has 864 divisors, whose sum is σ = 251219899647360. Its totient is φ = 16206287339520.

The previous prime is 68162430566357. The next prime is 68162430566401. The reversal of 68162430566400 is 466503426186.

It is a super-2 number, since 2×68162430566400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68162430566401) 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, 3175208467 + ... + 3175229933.

It is an arithmetic number, because the mean of its divisors is an integer number (290763772740).

Almost surely, 2^{68162430566400} is an apocalyptic number.

68162430566400 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 68162430566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125609949823680).

68162430566400 is an abundant number, since it is smaller than the sum of its proper divisors (183057469080960).

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

68162430566400 is a wasteful number, since it uses less digits than its factorization.

68162430566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21550 (or 21513 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 68162430566400 in words is "sixty-eight trillion, one hundred sixty-two billion, four hundred thirty million, five hundred sixty-six thousand, four hundred".