68845593600000 has 4704 divisors, whose sum is σ = 322298513574912. Its totient is φ = 14332723200000.

The previous prime is 68845593599987. The next prime is 68845593600001. The reversal of 68845593600000 is 639554886.

It is a happy number.

68845593600000 is a `hidden beast` number, since 6 + 8 + 8 + 45 + 593 + 6 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68845593600000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68845593600001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2220825599985 + ... + 2220825600015.

Almost surely, 2^{68845593600000} is an apocalyptic number.

68845593600000 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 68845593600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161149256787456).

68845593600000 is an abundant number, since it is smaller than the sum of its proper divisors (253452919974912).

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

68845593600000 is an frugal number, since it uses more digits than its factorization.

68845593600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 68845593600000 in words is "sixty-eight trillion, eight hundred forty-five billion, five hundred ninety-three million, six hundred thousand".