68579918821440 has 672 divisors, whose sum is σ = 259282062014976. Its totient is φ = 16533417738240.

The previous prime is 68579918821429. The next prime is 68579918821457. The reversal of 68579918821440 is 4412881997586.

68579918821440 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 99 + 18 + 82 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133016457 + ... + 1133076983.

It is an arithmetic number, because the mean of its divisors is an integer number (385836401808).

Almost surely, 2^{68579918821440} is an apocalyptic number.

68579918821440 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 68579918821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129641031007488).

68579918821440 is an abundant number, since it is smaller than the sum of its proper divisors (190702143193536).

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

68579918821440 is a wasteful number, since it uses less digits than its factorization.

68579918821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61187 (or 61174 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 68579918821440 in words is "sixty-eight trillion, five hundred seventy-nine billion, nine hundred eighteen million, eight hundred twenty-one thousand, four hundred forty".