67358485376 has 128 divisors (see below), whose sum is σ = 167624808960. Its totient is φ = 26249287680.

The previous prime is 67358485373. The next prime is 67358485391.

67358485376 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×67358485376² (a number of 22 digits) contains 22 as substring.

Its product of digits (101606400) is a multiple of the sum of its prime divisors (86400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67358485373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737261 + ... + 823571.

It is an arithmetic number, because the mean of its divisors is an integer number (1309568820).

Almost surely, 2^67358485376 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 67358485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83812404480).

67358485376 is an abundant number, since it is smaller than the sum of its proper divisors (100266323584).

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

67358485376 is a wasteful number, since it uses less digits than its factorization.

67358485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86412 (or 86400 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 67358485376 in words is "sixty-seven billion, three hundred fifty-eight million, four hundred eighty-five thousand, three hundred seventy-six".