967172905543680 has 3456 divisors, whose sum is σ = 3974653654433280. Its totient is φ = 223662941798400.

The previous prime is 967172905543643. The next prime is 967172905543723. The reversal of 967172905543680 is 86345509271769.

967172905543680 is a `hidden beast` number, since 9 + 6 + 7 + 1 + 7 + 2 + 9 + 0 + 554 + 3 + 68 + 0 = 666.

967172905543680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 967172905543599 and 967172905543608.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2183234549539 + ... + 2183234549981.

It is an arithmetic number, because the mean of its divisors is an integer number (1150073395380).

It is a 1-persistent number, because it is pandigital, but 2⋅967172905543680 = 1934345811087360 is not.

Almost surely, 2^{967172905543680} is an apocalyptic number.

967172905543680 is a gapful number since it is divisible by the number (90) 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 967172905543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987326827216640).

967172905543680 is an abundant number, since it is smaller than the sum of its proper divisors (3007480748889600).

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

967172905543680 is a wasteful number, since it uses less digits than its factorization.

967172905543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 967172905543680 in words is "nine hundred sixty-seven trillion, one hundred seventy-two billion, nine hundred five million, five hundred forty-three thousand, six hundred eighty".