68483978035200 has 3672 divisors, whose sum is σ = 321701371231968. Its totient is φ = 13777533665280.

The previous prime is 68483978035189. The next prime is 68483978035201. The reversal of 68483978035200 is 253087938486.

68483978035200 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 39 + 78 + 0 + 3 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68483978035201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 216037785442 + ... + 216037785758.

Almost surely, 2^{68483978035200} is an apocalyptic number.

68483978035200 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 68483978035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160850685615984).

68483978035200 is an abundant number, since it is smaller than the sum of its proper divisors (253217393196768).

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

68483978035200 is a wasteful number, since it uses less digits than its factorization.

68483978035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 68483978035200 in words is "sixty-eight trillion, four hundred eighty-three billion, nine hundred seventy-eight million, thirty-five thousand, two hundred".