68859292320 has 1440 divisors, whose sum is σ = 321190531200. Its totient is φ = 13732540416.

The previous prime is 68859292297. The next prime is 68859292351. The reversal of 68859292320 is 2329295886.

68859292320 is a `hidden beast` number, since 6 + 8 + 8 + 592 + 9 + 23 + 20 = 666.

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

It is a super-2 number, since 2×68859292320² (a number of 22 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 156854661 + ... + 156855099.

It is an arithmetic number, because the mean of its divisors is an integer number (223048980).

Almost surely, 2^68859292320 is an apocalyptic number.

68859292320 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 68859292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160595265600).

68859292320 is an abundant number, since it is smaller than the sum of its proper divisors (252331238880).

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

68859292320 is a wasteful number, since it uses less digits than its factorization.

68859292320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 68859292320 in words is "sixty-eight billion, eight hundred fifty-nine million, two hundred ninety-two thousand, three hundred twenty".