67705950816 has 432 divisors, whose sum is σ = 238549618944. Its totient is φ = 18494251776.

The previous prime is 67705950803. The next prime is 67705950841. The reversal of 67705950816 is 61805950776.

67705950816 is a `hidden beast` number, since 6 + 7 + 70 + 59 + 508 + 16 = 666.

67705950816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×67705950816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 33801271 + ... + 33803273.

It is an arithmetic number, because the mean of its divisors is an integer number (552198192).

Almost surely, 2^67705950816 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 67705950816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119274809472).

67705950816 is an abundant number, since it is smaller than the sum of its proper divisors (170843668128).

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

67705950816 is an equidigital number, since it uses as much as digits as its factorization.

67705950816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 67705950816 in words is "sixty-seven billion, seven hundred five million, nine hundred fifty thousand, eight hundred sixteen".