68183654400 has 567 divisors, whose sum is σ = 259461618871. Its totient is φ = 17112760320.

The previous prime is 68183654389. The next prime is 68183654489. The reversal of 68183654400 is 445638186.

The square root of 68183654400 is 261120.

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

68183654400 is a `hidden beast` number, since 6 + 8 + 183 + 65 + 4 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1594884096 + 66588770304 = 39936^2 + 258048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4010803192 + ... + 4010803208.

Almost surely, 2^68183654400 is an apocalyptic number.

68183654400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68183654400 is the 261120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68183654400

68183654400 is an abundant number, since it is smaller than the sum of its proper divisors (191277964471).

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

68183654400 is an frugal number, since it uses more digits than its factorization.

68183654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 68183654400 in words is "sixty-eight billion, one hundred eighty-three million, six hundred fifty-four thousand, four hundred".