68303658240 has 360 divisors, whose sum is σ = 252841798440. Its totient is φ = 17585455104.

The previous prime is 68303658221. The next prime is 68303658281. The reversal of 68303658240 is 4285630386.

It is a happy number.

68303658240 is a `hidden beast` number, since 6 + 8 + 30 + 36 + 582 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4217723136 + 64085935104 = 64944^2 + 253152^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 2995362 + ... + 3018078.

It is an arithmetic number, because the mean of its divisors is an integer number (702338329).

Almost surely, 2^68303658240 is an apocalyptic number.

68303658240 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 68303658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126420899220).

68303658240 is an abundant number, since it is smaller than the sum of its proper divisors (184538140200).

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

68303658240 is a wasteful number, since it uses less digits than its factorization.

68303658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22779 (or 22756 counting only the distinct ones).

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

The spelling of 68303658240 in words is "sixty-eight billion, three hundred three million, six hundred fifty-eight thousand, two hundred forty".