675361784313216 has 1344 divisors, whose sum is σ = 2728995932412960. Its totient is φ = 161924656988160.

The previous prime is 675361784313173. The next prime is 675361784313221. The reversal of 675361784313216 is 612313487163576.

675361784313216 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 6 + 178 + 431 + 3 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×675361784313216² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1027129776 + ... + 1027787088.

Almost surely, 2^{675361784313216} is an apocalyptic number.

675361784313216 is a gapful number since it is divisible by the number (66) 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 675361784313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364497966206480).

675361784313216 is an abundant number, since it is smaller than the sum of its proper divisors (2053634148099744).

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

675361784313216 is a wasteful number, since it uses less digits than its factorization.

675361784313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657387 (or 657349 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 675361784313216 in words is "six hundred seventy-five trillion, three hundred sixty-one billion, seven hundred eighty-four million, three hundred thirteen thousand, two hundred sixteen".