68953305600 has 720 divisors, whose sum is σ = 264211658568. Its totient is φ = 17112760320.

The previous prime is 68953305571. The next prime is 68953305601. The reversal of 68953305600 is 650335986.

68953305600 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 3 + 30 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 33603289344 + 35350016256 = 183312^2 + 188016^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68953305601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268300672 + ... + 268300928.

Almost surely, 2^68953305600 is an apocalyptic number.

68953305600 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 68953305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132105829284).

68953305600 is an abundant number, since it is smaller than the sum of its proper divisors (195258352968).

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

68953305600 is a wasteful number, since it uses less digits than its factorization.

68953305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 68953305600 in words is "sixty-eight billion, nine hundred fifty-three million, three hundred five thousand, six hundred".