68101407360 has 576 divisors, whose sum is σ = 276380699400. Its totient is φ = 15405465600.

The previous prime is 68101407359. The next prime is 68101407373. The reversal of 68101407360 is 6370410186.

It can be written as a sum of positive squares in 4 ways, for example, as 61571474496 + 6529932864 = 248136^2 + 80808^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28505046 + ... + 28507434.

Almost surely, 2^68101407360 is an apocalyptic number.

68101407360 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 68101407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138190349700).

68101407360 is an abundant number, since it is smaller than the sum of its proper divisors (208279292040).

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

68101407360 is a wasteful number, since it uses less digits than its factorization.

68101407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 68101407360 in words is "sixty-eight billion, one hundred one million, four hundred seven thousand, three hundred sixty".