67413565440 has 672 divisors, whose sum is σ = 261483689376. Its totient is φ = 16562257920.

The previous prime is 67413565421. The next prime is 67413565441. The reversal of 67413565440 is 4456531476.

67413565440 is a `hidden beast` number, since 6 + 7 + 41 + 3 + 565 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67413565441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129392380 + ... + 129392900.

It is an arithmetic number, because the mean of its divisors is an integer number (389112633).

Almost surely, 2^67413565440 is an apocalyptic number.

67413565440 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 67413565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130741844688).

67413565440 is an abundant number, since it is smaller than the sum of its proper divisors (194070123936).

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

67413565440 is an equidigital number, since it uses as much as digits as its factorization.

67413565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 67413565440 in words is "sixty-seven billion, four hundred thirteen million, five hundred sixty-five thousand, four hundred forty".