68588020800 has 1008 divisors, whose sum is σ = 277350248448. Its totient is φ = 15958425600.

The previous prime is 68588020799. The next prime is 68588020859. The reversal of 68588020800 is 802088586.

68588020800 is a `hidden beast` number, since 68 + 588 + 0 + 2 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×68588020800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 307569489 + ... + 307569711.

It is an arithmetic number, because the mean of its divisors is an integer number (275149056).

Almost surely, 2^68588020800 is an apocalyptic number.

68588020800 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 68588020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138675124224).

68588020800 is an abundant number, since it is smaller than the sum of its proper divisors (208762227648).

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

68588020800 is a wasteful number, since it uses less digits than its factorization.

68588020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 68588020800 in words is "sixty-eight billion, five hundred eighty-eight million, twenty thousand, eight hundred".