369835121664 has 132 divisors (see below), whose sum is σ = 1068803565336. Its totient is φ = 123173019648.

The previous prime is 369835121629. The next prime is 369835121683. The reversal of 369835121664 is 466121538963.

369835121664 is a `hidden beast` number, since 3 + 69 + 8 + 3 + 512 + 1 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 369835121664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11162467 + ... + 11195549.

Almost surely, 2^369835121664 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 369835121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534401782668).

369835121664 is an abundant number, since it is smaller than the sum of its proper divisors (698968443672).

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

369835121664 is a wasteful number, since it uses less digits than its factorization.

369835121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34322 (or 34301 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 369835121664 in words is "three hundred sixty-nine billion, eight hundred thirty-five million, one hundred twenty-one thousand, six hundred sixty-four".