68542436160 has 672 divisors, whose sum is σ = 282553989120. Its totient is φ = 15054336000.

The previous prime is 68542436129. The next prime is 68542436173. The reversal of 68542436160 is 6163424586.

68542436160 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 24 + 3 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 13841685 + ... + 13846635.

Almost surely, 2^68542436160 is an apocalyptic number.

68542436160 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 68542436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141276994560).

68542436160 is an abundant number, since it is smaller than the sum of its proper divisors (214011552960).

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

68542436160 is a wasteful number, since it uses less digits than its factorization.

68542436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 68542436160 in words is "sixty-eight billion, five hundred forty-two million, four hundred thirty-six thousand, one hundred sixty".