68968920960 has 384 divisors, whose sum is σ = 250703107200. Its totient is φ = 18114471936.

The previous prime is 68968920913. The next prime is 68968920983. The reversal of 68968920960 is 6902986986.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10416531 + ... + 10423149.

It is an arithmetic number, because the mean of its divisors is an integer number (652872675).

Almost surely, 2^68968920960 is an apocalyptic number.

68968920960 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 68968920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125351553600).

68968920960 is an abundant number, since it is smaller than the sum of its proper divisors (181734186240).

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

68968920960 is an equidigital number, since it uses as much as digits as its factorization.

68968920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6696 counting only the distinct ones).

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

It can be divided in two parts, 689689 and 20960, that added together give a square (710649 = 843²).

The spelling of 68968920960 in words is "sixty-eight billion, nine hundred sixty-eight million, nine hundred twenty thousand, nine hundred sixty".