366787696900 has 81 divisors (see below), whose sum is σ = 808244996223. Its totient is φ = 144479092800.

The previous prime is 366787696871. The next prime is 366787696931. The reversal of 366787696900 is 9696787663.

The square root of 366787696900 is 605630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 146669084676 + 220118612224 = 382974^2 + 469168^2 .

It is a super-2 number, since 2×366787696900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429996874 + ... + 429997726.

Almost surely, 2^366787696900 is an apocalyptic number.

366787696900 is the 605630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366787696900

366787696900 is an abundant number, since it is smaller than the sum of its proper divisors (441457299323).

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

366787696900 is an frugal number, since it uses more digits than its factorization.

366787696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 67.

The spelling of 366787696900 in words is "three hundred sixty-six billion, seven hundred eighty-seven million, six hundred ninety-six thousand, nine hundred".