68040267307200 has 252 divisors, whose sum is σ = 241839554272680. Its totient is φ = 18143442616320.

The previous prime is 68040267307151. The next prime is 68040267307219. The reversal of 68040267307200 is 270376204086.

68040267307200 is a `hidden beast` number, since 6 + 8 + 0 + 402 + 6 + 7 + 30 + 7 + 200 = 666.

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 35 ways as a sum of consecutive naturals, for example, 538626447 + ... + 538752753.

Almost surely, 2^{68040267307200} is an apocalyptic number.

68040267307200 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 68040267307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120919777136340).

68040267307200 is an abundant number, since it is smaller than the sum of its proper divisors (173799286965480).

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

68040267307200 is a wasteful number, since it uses less digits than its factorization.

68040267307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163744 (or 163726 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 68040267307200 in words is "sixty-eight trillion, forty billion, two hundred sixty-seven million, three hundred seven thousand, two hundred".