70768127788800 has 1728 divisors, whose sum is σ = 275997068807040. Its totient is φ = 15806905712640.

The previous prime is 70768127788759. The next prime is 70768127788823. The reversal of 70768127788800 is 888772186707.

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, 17740817206 + ... + 17740821194.

It is an arithmetic number, because the mean of its divisors is an integer number (159720525930).

Almost surely, 2^{70768127788800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70768127788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137998534403520).

70768127788800 is an abundant number, since it is smaller than the sum of its proper divisors (205228941018240).

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

70768127788800 is a wasteful number, since it uses less digits than its factorization.

70768127788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 118013952, while the sum is 69.

The spelling of 70768127788800 in words is "seventy trillion, seven hundred sixty-eight billion, one hundred twenty-seven million, seven hundred eighty-eight thousand, eight hundred".