67765706701056 has 1512 divisors, whose sum is σ = 255645382627320. Its totient is φ = 17866975666176.

The previous prime is 67765706701051. The next prime is 67765706701061. The reversal of 67765706701056 is 65010760756776.

It is a happy number.

67765706701056 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 570 + 6 + 7 + 0 + 1 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (67765706701051) and next prime (67765706701061).

It can be written as a sum of positive squares in 4 ways, for example, as 3983377305600 + 63782329395456 = 1995840^2 + 7986384^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 67765706700984 and 67765706701002.

It is not an unprimeable number, because it can be changed into a prime (67765706701051) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20090631786 + ... + 20090635158.

Almost surely, 2^{67765706701056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67765706701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127822691313660).

67765706701056 is an abundant number, since it is smaller than the sum of its proper divisors (187879675926264).

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

67765706701056 is an frugal number, since it uses more digits than its factorization.

67765706701056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 67765706701056 in words is "sixty-seven trillion, seven hundred sixty-five billion, seven hundred six million, seven hundred one thousand, fifty-six".