68709768955200 has 672 divisors, whose sum is σ = 253427020704000. Its totient is φ = 18107355340800.

The previous prime is 68709768955171. The next prime is 68709768955297. The reversal of 68709768955200 is 255986790786.

68709768955200 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 9 + 7 + 6 + 8 + 95 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1831704445 + ... + 1831741955.

Almost surely, 2^{68709768955200} is an apocalyptic number.

68709768955200 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 68709768955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126713510352000).

68709768955200 is an abundant number, since it is smaller than the sum of its proper divisors (184717251748800).

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

68709768955200 is a wasteful number, since it uses less digits than its factorization.

68709768955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38040 (or 38019 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 68709768955200 in words is "sixty-eight trillion, seven hundred nine billion, seven hundred sixty-eight million, nine hundred fifty-five thousand, two hundred".