68547180199680 has 4608 divisors, whose sum is σ = 321660176302080. Its totient is φ = 13437405757440.

The previous prime is 68547180199607. The next prime is 68547180199691. The reversal of 68547180199680 is 8699108174586.

68547180199680 is a `hidden beast` number, since 6 + 8 + 5 + 471 + 8 + 0 + 1 + 99 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68547180199599 and 68547180199608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 347955229342 + ... + 347955229538.

It is an arithmetic number, because the mean of its divisors is an integer number (69804725760).

Almost surely, 2^{68547180199680} is an apocalyptic number.

68547180199680 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 68547180199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160830088151040).

68547180199680 is an abundant number, since it is smaller than the sum of its proper divisors (253112996102400).

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

68547180199680 is a wasteful number, since it uses less digits than its factorization.

68547180199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 68547180199680 in words is "sixty-eight trillion, five hundred forty-seven billion, one hundred eighty million, one hundred ninety-nine thousand, six hundred eighty".