67308672032 has 144 divisors (see below), whose sum is σ = 157407750360. Its totient is φ = 28239224832.

The previous prime is 67308672031. The next prime is 67308672037. The reversal of 67308672032 is 23027680376.

67308672032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67269684496 + 38987536 = 259364^2 + 6244^2 .

It is a super-2 number, since 2×67308672032² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67308672031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68892728 + ... + 68893704.

Almost surely, 2^67308672032 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 67308672032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78703875180).

67308672032 is an abundant number, since it is smaller than the sum of its proper divisors (90099078328).

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

67308672032 is a wasteful number, since it uses less digits than its factorization.

67308672032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 67308672032 in words is "sixty-seven billion, three hundred eight million, six hundred seventy-two thousand, thirty-two".