68582142720 has 864 divisors, whose sum is σ = 302987123712. Its totient is φ = 14464106496.

The previous prime is 68582142709. The next prime is 68582142737. The reversal of 68582142720 is 2724128586.

68582142720 is a `hidden beast` number, since 6 + 8 + 582 + 1 + 42 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28303429 + ... + 28305851.

Almost surely, 2^68582142720 is an apocalyptic number.

68582142720 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 68582142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151493561856).

68582142720 is an abundant number, since it is smaller than the sum of its proper divisors (234404980992).

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

68582142720 is a wasteful number, since it uses less digits than its factorization.

68582142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 68582142720 in words is "sixty-eight billion, five hundred eighty-two million, one hundred forty-two thousand, seven hundred twenty".