67016363040 has 1152 divisors, whose sum is σ = 273651436800. Its totient is φ = 15287500800.

The previous prime is 67016363039. The next prime is 67016363069. The reversal of 67016363040 is 4036361076.

It is a happy number.

67016363040 is a `hidden beast` number, since 6 + 7 + 0 + 16 + 3 + 630 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 67016362986 and 67016363004.

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 191 ways as a sum of consecutive naturals, for example, 1135870531 + ... + 1135870589.

It is an arithmetic number, because the mean of its divisors is an integer number (237544650).

Almost surely, 2^67016363040 is an apocalyptic number.

67016363040 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 67016363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136825718400).

67016363040 is an abundant number, since it is smaller than the sum of its proper divisors (206635073760).

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

67016363040 is a wasteful number, since it uses less digits than its factorization.

67016363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 67016363040 in words is "sixty-seven billion, sixteen million, three hundred sixty-three thousand, forty".