67116651840 has 560 divisors, whose sum is σ = 287227670400. Its totient is φ = 14532784128.

The previous prime is 67116651817. The next prime is 67116651851. The reversal of 67116651840 is 4815661176.

67116651840 is a `hidden beast` number, since 6 + 71 + 1 + 66 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3437626 + ... + 3457094.

Almost surely, 2^67116651840 is an apocalyptic number.

67116651840 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 67116651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143613835200).

67116651840 is an abundant number, since it is smaller than the sum of its proper divisors (220111018560).

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

67116651840 is a wasteful number, since it uses less digits than its factorization.

67116651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19524 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 67116651840 in words is "sixty-seven billion, one hundred sixteen million, six hundred fifty-one thousand, eight hundred forty".