68521931735040 has 1024 divisors, whose sum is σ = 279710845747200. Its totient is φ = 15590350651392.

The previous prime is 68521931735027. The next prime is 68521931735051. The reversal of 68521931735040 is 4053713912586.

It is a happy number.

68521931735040 is a `hidden beast` number, since 6 + 8 + 5 + 219 + 31 + 7 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6905359519 + ... + 6905369441.

It is an arithmetic number, because the mean of its divisors is an integer number (273155122800).

It is a 1-persistent number, because it is pandigital, but 2⋅68521931735040 = 137043863470080 is not.

Almost surely, 2^{68521931735040} is an apocalyptic number.

68521931735040 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 68521931735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139855422873600).

68521931735040 is an abundant number, since it is smaller than the sum of its proper divisors (211188914012160).

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

68521931735040 is an equidigital number, since it uses as much as digits as its factorization.

68521931735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 68521931735040 in words is "sixty-eight trillion, five hundred twenty-one billion, nine hundred thirty-one million, seven hundred thirty-five thousand, forty".