67340615588064 has 1152 divisors, whose sum is σ = 247543233380352. Its totient is φ = 17534496798720.

The previous prime is 67340615588011. The next prime is 67340615588119. The reversal of 67340615588064 is 46088551604376.

67340615588064 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 0 + 615 + 5 + 8 + 8 + 0 + 6 + 4 = 666.

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 = 67340615587992 and 67340615588010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25061634529 + ... + 25061637215.

It is an arithmetic number, because the mean of its divisors is an integer number (214881278976).

Almost surely, 2^{67340615588064} 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 67340615588064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123771616690176).

67340615588064 is an abundant number, since it is smaller than the sum of its proper divisors (180202617792288).

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

67340615588064 is a wasteful number, since it uses less digits than its factorization.

67340615588064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 67340615588064 in words is "sixty-seven trillion, three hundred forty billion, six hundred fifteen million, five hundred eighty-eight thousand, sixty-four".