68604121272960 has 4608 divisors, whose sum is σ = 322970472115200. Its totient is φ = 13544423424000.

The previous prime is 68604121272949. The next prime is 68604121272983. The reversal of 68604121272960 is 6927212140686.

68604121272960 is a `hidden beast` number, since 6 + 8 + 60 + 412 + 12 + 72 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68604121272897 and 68604121272906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 454331928885 + ... + 454331929035.

It is an arithmetic number, because the mean of its divisors is an integer number (70089078150).

Almost surely, 2^{68604121272960} is an apocalyptic number.

68604121272960 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 68604121272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161485236057600).

68604121272960 is an abundant number, since it is smaller than the sum of its proper divisors (254366350842240).

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

68604121272960 is a wasteful number, since it uses less digits than its factorization.

68604121272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 68604121272960 in words is "sixty-eight trillion, six hundred four billion, one hundred twenty-one million, two hundred seventy-two thousand, nine hundred sixty".