68505636960 has 576 divisors, whose sum is σ = 252420779520. Its totient is φ = 16867491840.

The previous prime is 68505636943. The next prime is 68505636977. The reversal of 68505636960 is 6963650586.

It is an interprime number because it is at equal distance from previous prime (68505636943) and next prime (68505636977).

It is a super-3 number, since 3×68505636960³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68505636897 and 68505636906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220275205 + ... + 220275515.

It is an arithmetic number, because the mean of its divisors is an integer number (438230520).

Almost surely, 2^68505636960 is an apocalyptic number.

68505636960 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 68505636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126210389760).

68505636960 is an abundant number, since it is smaller than the sum of its proper divisors (183915142560).

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

68505636960 is a wasteful number, since it uses less digits than its factorization.

68505636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 68505636960 in words is "sixty-eight billion, five hundred five million, six hundred thirty-six thousand, nine hundred sixty".