68997427200 has 702 divisors, whose sum is σ = 268210658196. Its totient is φ = 16945643520.

The previous prime is 68997427193. The next prime is 68997427267. The reversal of 68997427200 is 272479986.

68997427200 is a `hidden beast` number, since 6 + 8 + 9 + 9 + 7 + 427 + 200 = 666.

It is a super-3 number, since 3×68997427200³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 155750179 + ... + 155750621.

Almost surely, 2^68997427200 is an apocalyptic number.

68997427200 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 68997427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134105329098).

68997427200 is an abundant number, since it is smaller than the sum of its proper divisors (199213230996).

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

68997427200 is a wasteful number, since it uses less digits than its factorization.

68997427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 68997427200 in words is "sixty-eight billion, nine hundred ninety-seven million, four hundred twenty-seven thousand, two hundred".