68008418100 has 810 divisors, whose sum is σ = 265664177394. Its totient is φ = 15001459200.

The previous prime is 68008418059. The next prime is 68008418147. The reversal of 68008418100 is 181480086.

It can be written as a sum of positive squares in 9 ways, for example, as 22180740624 + 45827677476 = 148932^2 + 214074^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×68008418100² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1114892070 + ... + 1114892130.

Almost surely, 2^68008418100 is an apocalyptic number.

68008418100 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 68008418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132832088697).

68008418100 is an abundant number, since it is smaller than the sum of its proper divisors (197655759294).

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

68008418100 is a wasteful number, since it uses less digits than its factorization.

68008418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 68008418100 its reverse (181480086), we get a palindrome (68189898186).

The spelling of 68008418100 in words is "sixty-eight billion, eight million, four hundred eighteen thousand, one hundred".