366364350680832 has 3456 divisors, whose sum is σ = 1415583269388288. Its totient is φ = 92102079283200.

The previous prime is 366364350680803. The next prime is 366364350680927. The reversal of 366364350680832 is 238086053463663.

366364350680832 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 6 + 43 + 506 + 8 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×366364350680832³ (a number of 45 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 366364350680832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1351897972857 + ... + 1351897973127.

It is an arithmetic number, because the mean of its divisors is an integer number (409601640448).

Almost surely, 2^{366364350680832} is an apocalyptic number.

366364350680832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366364350680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707791634694144).

366364350680832 is an abundant number, since it is smaller than the sum of its proper divisors (1049218918707456).

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

366364350680832 is a wasteful number, since it uses less digits than its factorization.

366364350680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 366364350680832 in words is "three hundred sixty-six trillion, three hundred sixty-four billion, three hundred fifty million, six hundred eighty thousand, eight hundred thirty-two".