68749876800 has 1008 divisors, whose sum is σ = 285929002944. Its totient is φ = 15611904000.

The previous prime is 68749876763. The next prime is 68749876813. The reversal of 68749876800 is 867894786.

68749876800 is a `hidden beast` number, since 6 + 87 + 498 + 7 + 68 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 325828695 + ... + 325828905.

Almost surely, 2^68749876800 is an apocalyptic number.

68749876800 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 68749876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142964501472).

68749876800 is an abundant number, since it is smaller than the sum of its proper divisors (217179126144).

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

68749876800 is a wasteful number, since it uses less digits than its factorization.

68749876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

It can be divided in two parts, 68749 and 876800, that added together give a palindrome (945549).

The spelling of 68749876800 in words is "sixty-eight billion, seven hundred forty-nine million, eight hundred seventy-six thousand, eight hundred".