67403730240 has 1344 divisors, whose sum is σ = 306746818560. Its totient is φ = 13175930880.

The previous prime is 67403730239. The next prime is 67403730259. The reversal of 67403730240 is 4203730476.

It is a happy number.

67403730240 is a `hidden beast` number, since 6 + 7 + 40 + 373 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67403730195 and 67403730204.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 302258769 + ... + 302258991.

It is an arithmetic number, because the mean of its divisors is an integer number (228234240).

Almost surely, 2^67403730240 is an apocalyptic number.

67403730240 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 67403730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153373409280).

67403730240 is an abundant number, since it is smaller than the sum of its proper divisors (239343088320).

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

67403730240 is a wasteful number, since it uses less digits than its factorization.

67403730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 67403730240 in words is "sixty-seven billion, four hundred three million, seven hundred thirty thousand, two hundred forty".