68382040320 has 720 divisors, whose sum is σ = 282709139328. Its totient is φ = 15597895680.

The previous prime is 68382040297. The next prime is 68382040369. The reversal of 68382040320 is 2304028386.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×68382040320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19386397 + ... + 19389923.

Almost surely, 2^68382040320 is an apocalyptic number.

68382040320 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 68382040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141354569664).

68382040320 is an abundant number, since it is smaller than the sum of its proper divisors (214327099008).

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

68382040320 is a wasteful number, since it uses less digits than its factorization.

68382040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 68382040320 in words is "sixty-eight billion, three hundred eighty-two million, forty thousand, three hundred twenty".