68410238400 has 504 divisors, whose sum is σ = 284676092064. Its totient is φ = 15254323200.

The previous prime is 68410238399. The next prime is 68410238423. The reversal of 68410238400 is 483201486.

68410238400 is a `hidden beast` number, since 6 + 8 + 4 + 10 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 4124524 + ... + 4141076.

It is an arithmetic number, because the mean of its divisors is an integer number (564833516).

Almost surely, 2^68410238400 is an apocalyptic number.

68410238400 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 68410238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142338046032).

68410238400 is an abundant number, since it is smaller than the sum of its proper divisors (216265853664).

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

68410238400 is a wasteful number, since it uses less digits than its factorization.

68410238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16629 (or 16611 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 68410238400 its reverse (483201486), we get a palindrome (68893439886).

The spelling of 68410238400 in words is "sixty-eight billion, four hundred ten million, two hundred thirty-eight thousand, four hundred".