68767577528832 has 2880 divisors, whose sum is σ = 268765597900800. Its totient is φ = 16813144276992.

The previous prime is 68767577528803. The next prime is 68767577528861. The reversal of 68767577528832 is 23882577576786.

68767577528832 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 7 + 5 + 7 + 7 + 528 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (68767577528803) and next prime (68767577528861).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 541476988353 + ... + 541476988479.

It is an arithmetic number, because the mean of its divisors is an integer number (93321388160).

Almost surely, 2^{68767577528832} 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 68767577528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134382798950400).

68767577528832 is an abundant number, since it is smaller than the sum of its proper divisors (199998020371968).

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

68767577528832 is a wasteful number, since it uses less digits than its factorization.

68767577528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 244 counting only the distinct ones).

The product of its digits is 13276569600, while the sum is 81.

The spelling of 68767577528832 in words is "sixty-eight trillion, seven hundred sixty-seven billion, five hundred seventy-seven million, five hundred twenty-eight thousand, eight hundred thirty-two".