67388433840 has 1920 divisors, whose sum is σ = 319749534720. Its totient is φ = 12875563008.

The previous prime is 67388433839. The next prime is 67388433859. The reversal of 67388433840 is 4833488376.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1005797487 + ... + 1005797553.

It is an arithmetic number, because the mean of its divisors is an integer number (166536216).

Almost surely, 2^67388433840 is an apocalyptic number.

67388433840 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 67388433840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159874767360).

67388433840 is an abundant number, since it is smaller than the sum of its proper divisors (252361100880).

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

67388433840 is a wasteful number, since it uses less digits than its factorization.

67388433840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 67388433840 in words is "sixty-seven billion, three hundred eighty-eight million, four hundred thirty-three thousand, eight hundred forty".