68457007906560 has 3168 divisors, whose sum is σ = 312060563660160. Its totient is φ = 14001063985152.

The previous prime is 68457007906519. The next prime is 68457007906579. The reversal of 68457007906560 is 6560970075486.

68457007906560 is a `hidden beast` number, since 6 + 8 + 4 + 570 + 0 + 7 + 9 + 0 + 6 + 56 + 0 = 666.

68457007906560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 254487018106 + ... + 254487018374.

Almost surely, 2^{68457007906560} is an apocalyptic number.

68457007906560 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 68457007906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156030281830080).

68457007906560 is an abundant number, since it is smaller than the sum of its proper divisors (243603555753600).

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

68457007906560 is an equidigital number, since it uses as much as digits as its factorization.

68457007906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 68457007906560 in words is "sixty-eight trillion, four hundred fifty-seven billion, seven million, nine hundred six thousand, five hundred sixty".