68573887200 has 1440 divisors, whose sum is σ = 319192695360. Its totient is φ = 13934592000.

The previous prime is 68573887199. The next prime is 68573887247. The reversal of 68573887200 is 278837586.

68573887200 is a `hidden beast` number, since 6 + 8 + 57 + 388 + 7 + 200 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 171007000 + ... + 171007400.

It is an arithmetic number, because the mean of its divisors is an integer number (221661594).

Almost surely, 2^68573887200 is an apocalyptic number.

68573887200 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 68573887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159596347680).

68573887200 is an abundant number, since it is smaller than the sum of its proper divisors (250618808160).

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

68573887200 is a wasteful number, since it uses less digits than its factorization.

68573887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 68573887200 in words is "sixty-eight billion, five hundred seventy-three million, eight hundred eighty-seven thousand, two hundred".