68531673600 has 720 divisors, whose sum is σ = 268456380192. Its totient is φ = 16593223680.

The previous prime is 68531673571. The next prime is 68531673697. The reversal of 68531673600 is 637613586.

68531673600 is a `hidden beast` number, since 6 + 8 + 5 + 31 + 6 + 7 + 3 + 600 = 666.

68531673600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100338859 + ... + 100339541.

Almost surely, 2^68531673600 is an apocalyptic number.

68531673600 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 68531673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134228190096).

68531673600 is an abundant number, since it is smaller than the sum of its proper divisors (199924706592).

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

68531673600 is a wasteful number, since it uses less digits than its factorization.

68531673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 68531673600 in words is "sixty-eight billion, five hundred thirty-one million, six hundred seventy-three thousand, six hundred".