68025363840 has 512 divisors, whose sum is σ = 276075648000. Its totient is φ = 15507210240.

The previous prime is 68025363817. The next prime is 68025363841. The reversal of 68025363840 is 4836352086.

It is a happy number.

68025363840 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 5 + 3 + 638 + 4 + 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 not an unprimeable number, because it can be changed into a prime (68025363841) 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 63 ways as a sum of consecutive naturals, for example, 89389060 + ... + 89389820.

It is an arithmetic number, because the mean of its divisors is an integer number (539210250).

Almost surely, 2^68025363840 is an apocalyptic number.

68025363840 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 68025363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138037824000).

68025363840 is an abundant number, since it is smaller than the sum of its proper divisors (208050284160).

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

68025363840 is a wasteful number, since it uses less digits than its factorization.

68025363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

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

The spelling of 68025363840 in words is "sixty-eight billion, twenty-five million, three hundred sixty-three thousand, eight hundred forty".