68981793840960 has 8064 divisors, whose sum is σ = 346581137387520. Its totient is φ = 11444944896000.

The previous prime is 68981793840913. The next prime is 68981793840997. The reversal of 68981793840960 is 6904839718986.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1130849079330 + ... + 1130849079390.

It is an arithmetic number, because the mean of its divisors is an integer number (42978811680).

Almost surely, 2^{68981793840960} is an apocalyptic number.

68981793840960 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 68981793840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173290568693760).

68981793840960 is an abundant number, since it is smaller than the sum of its proper divisors (277599343546560).

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

68981793840960 is a wasteful number, since it uses less digits than its factorization.

68981793840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 78.

The spelling of 68981793840960 in words is "sixty-eight trillion, nine hundred eighty-one billion, seven hundred ninety-three million, eight hundred forty thousand, nine hundred sixty".