695973761353728 has 1728 divisors, whose sum is σ = 2475461178590400. Its totient is φ = 192833891205120.

The previous prime is 695973761353727. The next prime is 695973761353777. The reversal of 695973761353728 is 827353167379596.

695973761353728 is a `hidden beast` number, since 6 + 9 + 5 + 9 + 7 + 3 + 76 + 1 + 3 + 537 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (695973761353727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209441395075 + ... + 209441398397.

It is an arithmetic number, because the mean of its divisors is an integer number (1432558552425).

Almost surely, 2^{695973761353728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 695973761353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237730589295200).

695973761353728 is an abundant number, since it is smaller than the sum of its proper divisors (1779487417236672).

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

695973761353728 is a wasteful number, since it uses less digits than its factorization.

695973761353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3461 counting only the distinct ones).

The product of its digits is 10802030400, while the sum is 81.

The spelling of 695973761353728 in words is "six hundred ninety-five trillion, nine hundred seventy-three billion, seven hundred sixty-one million, three hundred fifty-three thousand, seven hundred twenty-eight".