68401195200 has 882 divisors, whose sum is σ = 274041231444. Its totient is φ = 16788695040.

The previous prime is 68401195199. The next prime is 68401195211. The reversal of 68401195200 is 259110486.

68401195200 is a `hidden beast` number, since 68 + 401 + 195 + 2 + 0 + 0 = 666.

68401195200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 197121427 + ... + 197121773.

Almost surely, 2^68401195200 is an apocalyptic number.

68401195200 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 68401195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137020615722).

68401195200 is an abundant number, since it is smaller than the sum of its proper divisors (205640036244).

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

68401195200 is a wasteful number, since it uses less digits than its factorization.

68401195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 68401195200 in words is "sixty-eight billion, four hundred one million, one hundred ninety-five thousand, two hundred".