68643942635520 has 5376 divisors, whose sum is σ = 324838200960000. Its totient is φ = 13821331636224.

The previous prime is 68643942635507. The next prime is 68643942635531. The reversal of 68643942635520 is 2553624934686.

68643942635520 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 3 + 9 + 42 + 63 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 827035453399 + ... + 827035453481.

It is an arithmetic number, because the mean of its divisors is an integer number (60423772500).

Almost surely, 2^{68643942635520} is an apocalyptic number.

68643942635520 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 68643942635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162419100480000).

68643942635520 is an abundant number, since it is smaller than the sum of its proper divisors (256194258324480).

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

68643942635520 is an equidigital number, since it uses as much as digits as its factorization.

68643942635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 68643942635520 in words is "sixty-eight trillion, six hundred forty-three billion, nine hundred forty-two million, six hundred thirty-five thousand, five hundred twenty".