366561777816 has 384 divisors, whose sum is σ = 1126944000000. Its totient is φ = 106855676928.

The previous prime is 366561777809. The next prime is 366561777863. The reversal of 366561777816 is 618777165663.

It is a happy number.

366561777816 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 617 + 7 + 7 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 426730395 + ... + 426731253.

It is an arithmetic number, because the mean of its divisors is an integer number (2934750000).

Almost surely, 2^366561777816 is an apocalyptic number.

366561777816 is a gapful number since it is divisible by the number (36) 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 366561777816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563472000000).

366561777816 is an abundant number, since it is smaller than the sum of its proper divisors (760382222184).

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

366561777816 is a wasteful number, since it uses less digits than its factorization.

366561777816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 366561777816 in words is "three hundred sixty-six billion, five hundred sixty-one million, seven hundred seventy-seven thousand, eight hundred sixteen".