68285093760 has 768 divisors, whose sum is σ = 273737318400. Its totient is φ = 15547023360.

The previous prime is 68285093743. The next prime is 68285093761. The reversal of 68285093760 is 6739058286.

It is a happy number.

68285093760 is a `hidden beast` number, since 68 + 2 + 8 + 509 + 3 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68285093697 and 68285093706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68285093761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53388801 + ... + 53390079.

It is an arithmetic number, because the mean of its divisors is an integer number (356428800).

Almost surely, 2^68285093760 is an apocalyptic number.

68285093760 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 68285093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136868659200).

68285093760 is an abundant number, since it is smaller than the sum of its proper divisors (205452224640).

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

68285093760 is a wasteful number, since it uses less digits than its factorization.

68285093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 68285093760 in words is "sixty-eight billion, two hundred eighty-five million, ninety-three thousand, seven hundred sixty".