363685690368 has 1408 divisors, whose sum is σ = 1533170903040. Its totient is φ = 81961943040.

The previous prime is 363685690367. The next prime is 363685690373. The reversal of 363685690368 is 863096586363.

363685690368 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 8 + 569 + 0 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363685690367) 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 127 ways as a sum of consecutive naturals, for example, 470485630 + ... + 470486402.

Almost surely, 2^363685690368 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 363685690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766585451520).

363685690368 is an abundant number, since it is smaller than the sum of its proper divisors (1169485212672).

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

363685690368 is a wasteful number, since it uses less digits than its factorization.

363685690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 363685690368 in words is "three hundred sixty-three billion, six hundred eighty-five million, six hundred ninety thousand, three hundred sixty-eight".