3535664827968 has 896 divisors, whose sum is σ = 13563132477440. Its totient is φ = 877968875520.

The previous prime is 3535664827967. The next prime is 3535664827969. The reversal of 3535664827968 is 8697284665353.

3535664827968 is a `hidden beast` number, since 3 + 5 + 3 + 56 + 6 + 482 + 7 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3535664827967) and next prime (3535664827969).

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 = 3535664827896 and 3535664827905.

It is not an unprimeable number, because it can be changed into a prime (3535664827967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180353655 + ... + 180373257.

It is an arithmetic number, because the mean of its divisors is an integer number (15137424640).

Almost surely, 2^{3535664827968} 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 3535664827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781566238720).

3535664827968 is an abundant number, since it is smaller than the sum of its proper divisors (10027467649472).

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

3535664827968 is a wasteful number, since it uses less digits than its factorization.

3535664827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19712 (or 19696 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 3535664827968 in words is "three trillion, five hundred thirty-five billion, six hundred sixty-four million, eight hundred twenty-seven thousand, nine hundred sixty-eight".