67108103424 has 360 divisors, whose sum is σ = 207764031552. Its totient is φ = 21528944640.

The previous prime is 67108103407. The next prime is 67108103431. The reversal of 67108103424 is 42430180176.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 65089789 + ... + 65090819.

Almost surely, 2^67108103424 is an apocalyptic number.

67108103424 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 67108103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103882015776).

67108103424 is an abundant number, since it is smaller than the sum of its proper divisors (140655928128).

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

67108103424 is a wasteful number, since it uses less digits than its factorization.

67108103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 67108103424 in words is "sixty-seven billion, one hundred eight million, one hundred three thousand, four hundred twenty-four".