68357656652832 has 1152 divisors, whose sum is σ = 219657592627200. Its totient is φ = 20856572706816.

The previous prime is 68357656652827. The next prime is 68357656652837. The reversal of 68357656652832 is 23825665675386.

68357656652832 is a `hidden beast` number, since 6 + 8 + 3 + 5 + 7 + 6 + 5 + 66 + 528 + 32 = 666.

68357656652832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68357656652827) and next prime (68357656652837).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (2612736000) is a multiple of the sum of its prime factors (900).

It is not an unprimeable number, because it can be changed into a prime (68357656652837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167133634644 + ... + 167133635052.

It is an arithmetic number, because the mean of its divisors is an integer number (190674993600).

Almost surely, 2^{68357656652832} 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 68357656652832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109828796313600).

68357656652832 is an abundant number, since it is smaller than the sum of its proper divisors (151299935974368).

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

68357656652832 is a wasteful number, since it uses less digits than its factorization.

68357656652832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 68357656652832 in words is "sixty-eight trillion, three hundred fifty-seven billion, six hundred fifty-six million, six hundred fifty-two thousand, eight hundred thirty-two".