68062135680 has 1920 divisors, whose sum is σ = 327369081600. Its totient is φ = 13085245440.

The previous prime is 68062135639. The next prime is 68062135681. The reversal of 68062135680 is 8653126086.

68062135680 is a `hidden beast` number, since 6 + 80 + 6 + 2 + 1 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68062135681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1153595491 + ... + 1153595549.

It is an arithmetic number, because the mean of its divisors is an integer number (170504730).

Almost surely, 2^68062135680 is an apocalyptic number.

68062135680 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 68062135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163684540800).

68062135680 is an abundant number, since it is smaller than the sum of its proper divisors (259306945920).

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

68062135680 is a wasteful number, since it uses less digits than its factorization.

68062135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 68062135680 in words is "sixty-eight billion, sixty-two million, one hundred thirty-five thousand, six hundred eighty".