68983882606080 has 960 divisors, whose sum is σ = 275425539637248. Its totient is φ = 16432825466880.

The previous prime is 68983882606061. The next prime is 68983882606109. The reversal of 68983882606080 is 8060628838986.

68983882606080 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 3 + 8 + 8 + 2 + 6 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250560657 + ... + 250835823.

Almost surely, 2^{68983882606080} is an apocalyptic number.

68983882606080 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 68983882606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137712769818624).

68983882606080 is an abundant number, since it is smaller than the sum of its proper divisors (206441657031168).

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

68983882606080 is a wasteful number, since it uses less digits than its factorization.

68983882606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275249 (or 275221 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 68983882606080 in words is "sixty-eight trillion, nine hundred eighty-three billion, eight hundred eighty-two million, six hundred six thousand, eighty".