68026962120768 has 1344 divisors, whose sum is σ = 254017040449536. Its totient is φ = 17602375680000.

The previous prime is 68026962120757. The next prime is 68026962120791. The reversal of 68026962120768 is 86702126962086.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10384207093 + ... + 10384213643.

It is an arithmetic number, because the mean of its divisors is an integer number (189000774144).

Almost surely, 2^{68026962120768} is an apocalyptic number.

68026962120768 is a gapful number since it is divisible by the number (68) 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 68026962120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008520224768).

68026962120768 is an abundant number, since it is smaller than the sum of its proper divisors (185990078328768).

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

68026962120768 is a wasteful number, since it uses less digits than its factorization.

68026962120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 68026962120768 in words is "sixty-eight trillion, twenty-six billion, nine hundred sixty-two million, one hundred twenty thousand, seven hundred sixty-eight".