67249419264 has 440 divisors, whose sum is σ = 218549101320. Its totient is φ = 20511719424.

The previous prime is 67249419253. The next prime is 67249419277. The reversal of 67249419264 is 46291494276.

67249419264 is a `hidden beast` number, since 6 + 7 + 2 + 494 + 1 + 92 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43597440000 + 23651979264 = 208800^2 + 153792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67249419264.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 52171132 + ... + 52172420.

It is an arithmetic number, because the mean of its divisors is an integer number (496702503).

Almost surely, 2^67249419264 is an apocalyptic number.

67249419264 is a gapful number since it is divisible by the number (64) 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 67249419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109274550660).

67249419264 is an abundant number, since it is smaller than the sum of its proper divisors (151299682056).

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

67249419264 is a wasteful number, since it uses less digits than its factorization.

67249419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1348 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 67249419264 in words is "sixty-seven billion, two hundred forty-nine million, four hundred nineteen thousand, two hundred sixty-four".