68414566809600 has 2880 divisors, whose sum is σ = 284984444828160. Its totient is φ = 16148201472000.

The previous prime is 68414566809551. The next prime is 68414566809649. The reversal of 68414566809600 is 690866541486.

68414566809600 is a `hidden beast` number, since 6 + 8 + 4 + 1 + 4 + 566 + 8 + 0 + 9 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68414566809551) and next prime (68414566809649).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 522248601535 + ... + 522248601665.

It is an arithmetic number, because the mean of its divisors is an integer number (98952932232).

Almost surely, 2^{68414566809600} is an apocalyptic number.

68414566809600 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 68414566809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492222414080).

68414566809600 is an abundant number, since it is smaller than the sum of its proper divisors (216569878018560).

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

68414566809600 is an equidigital number, since it uses as much as digits as its factorization.

68414566809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 68414566809600 in words is "sixty-eight trillion, four hundred fourteen billion, five hundred sixty-six million, eight hundred nine thousand, six hundred".