35894669664 has 192 divisors, whose sum is σ = 109010119680. Its totient is φ = 10129950720.

The previous prime is 35894669663. The next prime is 35894669693. The reversal of 35894669664 is 46696649853.

It is a junction number, because it is equal to n+sod(n) for n = 35894669595 and 35894669604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35894669663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33766797 + ... + 33767859.

It is an arithmetic number, because the mean of its divisors is an integer number (567761040).

Almost surely, 2^35894669664 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 35894669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54505059840).

35894669664 is an abundant number, since it is smaller than the sum of its proper divisors (73115450016).

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

35894669664 is a wasteful number, since it uses less digits than its factorization.

35894669664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1645 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 66.

The spelling of 35894669664 in words is "thirty-five billion, eight hundred ninety-four million, six hundred sixty-nine thousand, six hundred sixty-four".