67949893440 has 896 divisors, whose sum is σ = 288394444800. Its totient is φ = 14840340480.

The previous prime is 67949893423. The next prime is 67949893441. The reversal of 67949893440 is 4439894976.

67949893440 is a `hidden beast` number, since 6 + 79 + 49 + 89 + 3 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67949893441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53126721 + ... + 53127999.

It is an arithmetic number, because the mean of its divisors is an integer number (321868800).

Almost surely, 2^67949893440 is an apocalyptic number.

67949893440 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 67949893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144197222400).

67949893440 is an abundant number, since it is smaller than the sum of its proper divisors (220444551360).

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

67949893440 is a wasteful number, since it uses less digits than its factorization.

67949893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 67949893440 in words is "sixty-seven billion, nine hundred forty-nine million, eight hundred ninety-three thousand, four hundred forty".