68609071440 has 640 divisors, whose sum is σ = 306180403200. Its totient is φ = 13713131520.

The previous prime is 68609071423. The next prime is 68609071441. The reversal of 68609071440 is 4417090686.

68609071440 is a `hidden beast` number, since 68 + 60 + 90 + 7 + 1 + 440 = 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 (68609071441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3725455 + ... + 3743825.

It is an arithmetic number, because the mean of its divisors is an integer number (478406880).

Almost surely, 2^68609071440 is an apocalyptic number.

68609071440 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 68609071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153090201600).

68609071440 is an abundant number, since it is smaller than the sum of its proper divisors (237571331760).

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

68609071440 is a wasteful number, since it uses less digits than its factorization.

68609071440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18432 (or 18420 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 68609071440 in words is "sixty-eight billion, six hundred nine million, seventy-one thousand, four hundred forty".