68229734400 has 588 divisors, whose sum is σ = 254238176562. Its totient is φ = 18154782720.

The previous prime is 68229734351. The next prime is 68229734411. The reversal of 68229734400 is 443792286.

It can be written as a sum of positive squares in 3 ways, for example, as 61060386816 + 7169347584 = 247104^2 + 84672^2 .

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 41 ways as a sum of consecutive naturals, for example, 149298972 + ... + 149299428.

Almost surely, 2^68229734400 is an apocalyptic number.

68229734400 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 68229734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127119088281).

68229734400 is an abundant number, since it is smaller than the sum of its proper divisors (186008442162).

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

68229734400 is an frugal number, since it uses more digits than its factorization.

68229734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 68229734400 in words is "sixty-eight billion, two hundred twenty-nine million, seven hundred thirty-four thousand, four hundred".