67244813856 has 144 divisors (see below), whose sum is σ = 208704656160. Its totient is φ = 20368143360.

The previous prime is 67244813731. The next prime is 67244813863. The reversal of 67244813856 is 65831844276.

It is a happy number.

67244813856 is a `hidden beast` number, since 67 + 2 + 448 + 138 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11633175 + ... + 11638953.

It is an arithmetic number, because the mean of its divisors is an integer number (1449337890).

Almost surely, 2^67244813856 is an apocalyptic number.

67244813856 is a gapful number since it is divisible by the number (66) 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 67244813856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104352328080).

67244813856 is an abundant number, since it is smaller than the sum of its proper divisors (141459842304).

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

67244813856 is a wasteful number, since it uses less digits than its factorization.

67244813856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479 (or 9468 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 67244813856 in words is "sixty-seven billion, two hundred forty-four million, eight hundred thirteen thousand, eight hundred fifty-six".