68425835063040 has 1440 divisors, whose sum is σ = 317202645957120. Its totient is φ = 13677216104448.

The previous prime is 68425835062999. The next prime is 68425835063041. The reversal of 68425835063040 is 4036053852486.

68425835063040 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 583 + 50 + 6 + 3 + 0 + 4 + 0 = 666.

68425835063040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68425835063041) 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 159 ways as a sum of consecutive naturals, for example, 179071867 + ... + 179453573.

It is an arithmetic number, because the mean of its divisors is an integer number (220279615248).

Almost surely, 2^{68425835063040} is an apocalyptic number.

68425835063040 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 68425835063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158601322978560).

68425835063040 is an abundant number, since it is smaller than the sum of its proper divisors (248776810894080).

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

68425835063040 is a wasteful number, since it uses less digits than its factorization.

68425835063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381779 (or 381756 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 68425835063040 in words is "sixty-eight trillion, four hundred twenty-five billion, eight hundred thirty-five million, sixty-three thousand, forty".