68288407142400 has 621 divisors, whose sum is σ = 245536984751851. Its totient is φ = 18142545838080.

The previous prime is 68288407142387. The next prime is 68288407142453. The reversal of 68288407142400 is 424170488286.

The square root of 68288407142400 is 8263680.

It is a perfect power (a square), and thus also a powerful number.

68288407142400 is a `hidden beast` number, since 6 + 82 + 88 + 40 + 7 + 1 + 42 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26193432674304 + 42094974468096 = 5117952^2 + 6488064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 253860249466 + ... + 253860249734.

Almost surely, 2^{68288407142400} is an apocalyptic number.

68288407142400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68288407142400 is the 8263680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68288407142400

68288407142400 is an abundant number, since it is smaller than the sum of its proper divisors (177248577609451).

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

68288407142400 is an frugal number, since it uses more digits than its factorization.

68288407142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 68288407142400 in words is "sixty-eight trillion, two hundred eighty-eight billion, four hundred seven million, one hundred forty-two thousand, four hundred".