67741914240 has 1536 divisors, whose sum is σ = 325063065600. Its totient is φ = 12541132800.

The previous prime is 67741914223. The next prime is 67741914241. The reversal of 67741914240 is 4241914776.

67741914240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67741914241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178738371 + ... + 178738749.

It is an arithmetic number, because the mean of its divisors is an integer number (211629600).

Almost surely, 2^67741914240 is an apocalyptic number.

67741914240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67741914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162531532800).

67741914240 is an abundant number, since it is smaller than the sum of its proper divisors (257321151360).

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

67741914240 is a wasteful number, since it uses less digits than its factorization.

67741914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67741914240 in words is "sixty-seven billion, seven hundred forty-one million, nine hundred fourteen thousand, two hundred forty".