68117535360 has 1024 divisors, whose sum is σ = 293995008000. Its totient is φ = 14559657984.

The previous prime is 68117535307. The next prime is 68117535371. The reversal of 68117535360 is 6353571186.

68117535360 is a `hidden beast` number, since 6 + 81 + 1 + 7 + 535 + 36 + 0 = 666.

68117535360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245911542 + ... + 245911818.

It is an arithmetic number, because the mean of its divisors is an integer number (287104500).

Almost surely, 2^68117535360 is an apocalyptic number.

68117535360 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 68117535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146997504000).

68117535360 is an abundant number, since it is smaller than the sum of its proper divisors (225877472640).

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

68117535360 is a wasteful number, since it uses less digits than its factorization.

68117535360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 68117535360 in words is "sixty-eight billion, one hundred seventeen million, five hundred thirty-five thousand, three hundred sixty".