68164368384 has 192 divisors, whose sum is σ = 218621894400. Its totient is φ = 18450284544.

The previous prime is 68164368373. The next prime is 68164368401. The reversal of 68164368384 is 48386346186.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×68164368384² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775444 + ... + 858860.

It is an arithmetic number, because the mean of its divisors is an integer number (1138655700).

Almost surely, 2^68164368384 is an apocalyptic number.

68164368384 is a gapful number since it is divisible by the number (64) 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 68164368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109310947200).

68164368384 is an abundant number, since it is smaller than the sum of its proper divisors (150457526016).

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

68164368384 is a wasteful number, since it uses less digits than its factorization.

68164368384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83468 (or 83448 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 57.

The spelling of 68164368384 in words is "sixty-eight billion, one hundred sixty-four million, three hundred sixty-eight thousand, three hundred eighty-four".