68991403968000 has 800 divisors, whose sum is σ = 259486679200320. Its totient is φ = 18218948198400.

The previous prime is 68991403967987. The next prime is 68991403968037. The reversal of 68991403968000 is 86930419986.

It is a happy number.

68991403968000 is a `hidden beast` number, since 6 + 89 + 91 + 4 + 0 + 396 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×68991403968000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 533887396 + ... + 534016604.

Almost surely, 2^{68991403968000} is an apocalyptic number.

68991403968000 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 68991403968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129743339600160).

68991403968000 is an abundant number, since it is smaller than the sum of its proper divisors (190495275232320).

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

68991403968000 is a wasteful number, since it uses less digits than its factorization.

68991403968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129357 (or 129322 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 68991403968000 in words is "sixty-eight trillion, nine hundred ninety-one billion, four hundred three million, nine hundred sixty-eight thousand".