67711361506560 has 432 divisors, whose sum is σ = 234856957870080. Its totient is φ = 18011512995840.

The previous prime is 67711361506549. The next prime is 67711361506571. The reversal of 67711361506560 is 6560516311776.

67711361506560 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 13 + 61 + 5 + 0 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (67711361506549) and next prime (67711361506571).

It is a junction number, because it is equal to n+sod(n) for n = 67711361506497 and 67711361506506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8266552065 + ... + 8266560255.

It is an arithmetic number, because the mean of its divisors is an integer number (543650365440).

Almost surely, 2^{67711361506560} is an apocalyptic number.

67711361506560 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 67711361506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117428478935040).

67711361506560 is an abundant number, since it is smaller than the sum of its proper divisors (167145596363520).

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

67711361506560 is a wasteful number, since it uses less digits than its factorization.

67711361506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 67711361506560 in words is "sixty-seven trillion, seven hundred eleven billion, three hundred sixty-one million, five hundred six thousand, five hundred sixty".