68236528800 has 576 divisors, whose sum is σ = 255403653120. Its totient is φ = 15662592000.

The previous prime is 68236528771. The next prime is 68236528847. The reversal of 68236528800 is 882563286.

68236528800 = T₄₅₀ + T₄₅₁ + ... + T₇₄₂₅.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68236528800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66184285 + ... + 66185315.

It is an arithmetic number, because the mean of its divisors is an integer number (443409120).

Almost surely, 2^68236528800 is an apocalyptic number.

68236528800 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 68236528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127701826560).

68236528800 is an abundant number, since it is smaller than the sum of its proper divisors (187167124320).

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

68236528800 is a wasteful number, since it uses less digits than its factorization.

68236528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 68236528800 in words is "sixty-eight billion, two hundred thirty-six million, five hundred twenty-eight thousand, eight hundred".