68315581440 has 352 divisors, whose sum is σ = 245818825920. Its totient is φ = 18214502400.

The previous prime is 68315581379. The next prime is 68315581441. The reversal of 68315581440 is 4418551386.

68315581440 is a `hidden beast` number, since 6 + 83 + 1 + 55 + 81 + 440 = 666.

68315581440 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 (45).

It is not an unprimeable number, because it can be changed into a prime (68315581441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11194390 + ... + 11200490.

Almost surely, 2^68315581440 is an apocalyptic number.

68315581440 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 68315581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122909412960).

68315581440 is an abundant number, since it is smaller than the sum of its proper divisors (177503244480).

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

68315581440 is an frugal number, since it uses more digits than its factorization.

68315581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 68315581440 in words is "sixty-eight billion, three hundred fifteen million, five hundred eighty-one thousand, four hundred forty".