68616884488320 has 3584 divisors, whose sum is σ = 307414528819200. Its totient is φ = 14295816437760.

The previous prime is 68616884488237. The next prime is 68616884488333. The reversal of 68616884488320 is 2388448861686.

68616884488320 is a `hidden beast` number, since 6 + 8 + 6 + 1 + 6 + 88 + 448 + 83 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 183959475654 + ... + 183959476026.

Almost surely, 2^{68616884488320} is an apocalyptic number.

68616884488320 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 68616884488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153707264409600).

68616884488320 is an abundant number, since it is smaller than the sum of its proper divisors (238797644330880).

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

68616884488320 is a wasteful number, since it uses less digits than its factorization.

68616884488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 68616884488320 in words is "sixty-eight trillion, six hundred sixteen billion, eight hundred eighty-four million, four hundred eighty-eight thousand, three hundred twenty".