68458618800 has 960 divisors, whose sum is σ = 301455705600. Its totient is φ = 14506905600.

The previous prime is 68458618757. The next prime is 68458618859. The reversal of 68458618800 is 881685486.

68458618800 is a `hidden beast` number, since 6 + 8 + 458 + 6 + 188 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 29342434 + ... + 29344766.

It is an arithmetic number, because the mean of its divisors is an integer number (314016360).

Almost surely, 2^68458618800 is an apocalyptic number.

68458618800 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 68458618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150727852800).

68458618800 is an abundant number, since it is smaller than the sum of its proper divisors (232997086800).

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

68458618800 is a wasteful number, since it uses less digits than its factorization.

68458618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 68458618800 in words is "sixty-eight billion, four hundred fifty-eight million, six hundred eighteen thousand, eight hundred".