68887296800 has 576 divisors, whose sum is σ = 210424032000. Its totient is φ = 21946982400.

The previous prime is 68887296763. The next prime is 68887296809. The reversal of 68887296800 is 869278886.

It is a super-2 number, since 2×68887296800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68887296809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380592710 + ... + 380592890.

It is an arithmetic number, because the mean of its divisors is an integer number (365319500).

Almost surely, 2^68887296800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68887296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105212016000).

68887296800 is an abundant number, since it is smaller than the sum of its proper divisors (141536735200).

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

68887296800 is a wasteful number, since it uses less digits than its factorization.

68887296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 62.

The spelling of 68887296800 in words is "sixty-eight billion, eight hundred eighty-seven million, two hundred ninety-six thousand, eight hundred".