68535441576 has 512 divisors, whose sum is σ = 242307072000. Its totient is φ = 17505331200.

The previous prime is 68535441529. The next prime is 68535441619. The reversal of 68535441576 is 67514453586.

It is a happy number.

68535441576 is a `hidden beast` number, since 6 + 85 + 3 + 544 + 15 + 7 + 6 = 666.

It is a super-3 number, since 3×68535441576³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36512350 + ... + 36514226.

It is an arithmetic number, because the mean of its divisors is an integer number (473256000).

Almost surely, 2^68535441576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68535441576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121153536000).

68535441576 is an abundant number, since it is smaller than the sum of its proper divisors (173771630424).

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

68535441576 is a wasteful number, since it uses less digits than its factorization.

68535441576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1980 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 68535441576 in words is "sixty-eight billion, five hundred thirty-five million, four hundred forty-one thousand, five hundred seventy-six".