67362584016 has 160 divisors (see below), whose sum is σ = 217690455808. Its totient is φ = 17474641920.

The previous prime is 67362583993. The next prime is 67362584017. The reversal of 67362584016 is 61048526376.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67362584017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140040 + ... + 392856.

Almost surely, 2^67362584016 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 67362584016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108845227904).

67362584016 is an abundant number, since it is smaller than the sum of its proper divisors (150327871792).

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

67362584016 is a wasteful number, since it uses less digits than its factorization.

67362584016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252909 (or 252903 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 67362584016 in words is "sixty-seven billion, three hundred sixty-two million, five hundred eighty-four thousand, sixteen".