68331198136320 has 2520 divisors, whose sum is σ = 301313129569200. Its totient is φ = 14784490635264.

The previous prime is 68331198136307. The next prime is 68331198136337. The reversal of 68331198136320 is 2363189113386.

68331198136320 is a `hidden beast` number, since 6 + 83 + 311 + 98 + 136 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 167 ways as a sum of consecutive naturals, for example, 55599021466 + ... + 55599022694.

It is an arithmetic number, because the mean of its divisors is an integer number (119568702210).

Almost surely, 2^{68331198136320} is an apocalyptic number.

68331198136320 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 68331198136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150656564784600).

68331198136320 is an abundant number, since it is smaller than the sum of its proper divisors (232981931432880).

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

68331198136320 is an equidigital number, since it uses as much as digits as its factorization.

68331198136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 68331198136320 in words is "sixty-eight trillion, three hundred thirty-one billion, one hundred ninety-eight million, one hundred thirty-six thousand, three hundred twenty".