68013950400 has 1512 divisors, whose sum is σ = 297554050560. Its totient is φ = 15116544000.

The previous prime is 68013950393. The next prime is 68013950437. The reversal of 68013950400 is 405931086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2193998385 + ... + 2193998415.

Almost surely, 2^68013950400 is an apocalyptic number.

68013950400 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 68013950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148777025280).

68013950400 is an abundant number, since it is smaller than the sum of its proper divisors (229540100160).

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

68013950400 is a wasteful number, since it uses less digits than its factorization.

68013950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 68013950400 in words is "sixty-eight billion, thirteen million, nine hundred fifty thousand, four hundred".