67735401680 has 80 divisors (see below), whose sum is σ = 158342990400. Its totient is φ = 26946779136.

The previous prime is 67735401631. The next prime is 67735401689. The reversal of 67735401680 is 8610453776.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67735401689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32269271 + ... + 32271369.

It is an arithmetic number, because the mean of its divisors is an integer number (1979287380).

Almost surely, 2^67735401680 is an apocalyptic number.

It is an amenable number.

67735401680 is an abundant number, since it is smaller than the sum of its proper divisors (90607588720).

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

67735401680 is a wasteful number, since it uses less digits than its factorization.

67735401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 67735401680 in words is "sixty-seven billion, seven hundred thirty-five million, four hundred one thousand, six hundred eighty".