68659960320 has 720 divisors, whose sum is σ = 281428012008. Its totient is φ = 15420948480.

The previous prime is 68659960307. The next prime is 68659960351. The reversal of 68659960320 is 2306995686.

68659960320 is a `hidden beast` number, since 6 + 8 + 6 + 5 + 9 + 9 + 603 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49028587776 + 19631372544 = 221424^2 + 140112^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×68659960320² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68866062 + ... + 68867058.

Almost surely, 2^68659960320 is an apocalyptic number.

68659960320 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 68659960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140714006004).

68659960320 is an abundant number, since it is smaller than the sum of its proper divisors (212768051688).

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

68659960320 is a wasteful number, since it uses less digits than its factorization.

68659960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 68659960320 in words is "sixty-eight billion, six hundred fifty-nine million, nine hundred sixty thousand, three hundred twenty".