68563301990400 has 3840 divisors, whose sum is σ = 324248767286400. Its totient is φ = 13942873128960.

The previous prime is 68563301990357. The next prime is 68563301990429. The reversal of 68563301990400 is 409910336586.

68563301990400 is a `hidden beast` number, since 6 + 8 + 563 + 30 + 1 + 9 + 9 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 150029106972 + ... + 150029107428.

Almost surely, 2^{68563301990400} is an apocalyptic number.

68563301990400 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 68563301990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162124383643200).

68563301990400 is an abundant number, since it is smaller than the sum of its proper divisors (255685465296000).

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

68563301990400 is a wasteful number, since it uses less digits than its factorization.

68563301990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 68563301990400 in words is "sixty-eight trillion, five hundred sixty-three billion, three hundred one million, nine hundred ninety thousand, four hundred".