67033733680 has 80 divisors (see below), whose sum is σ = 162797241024. Its totient is φ = 25621263360.

The previous prime is 67033733623. The next prime is 67033733681. The reversal of 67033733680 is 8633733076.

67033733680 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 67033733680.

It is not an unprimeable number, because it can be changed into a prime (67033733681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816210 + ... + 1852750.

Almost surely, 2^67033733680 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 67033733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81398620512).

67033733680 is an abundant number, since it is smaller than the sum of its proper divisors (95763507344).

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

67033733680 is a wasteful number, since it uses less digits than its factorization.

67033733680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37574 (or 37568 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 46.

The spelling of 67033733680 in words is "sixty-seven billion, thirty-three million, seven hundred thirty-three thousand, six hundred eighty".