366984271503360 has 4536 divisors, whose sum is σ = 1642590369882540. Its totient is φ = 78377063546880.

The previous prime is 366984271503337. The next prime is 366984271503371. The reversal of 366984271503360 is 63305172489663.

366984271503360 is a `hidden beast` number, since 3 + 6 + 6 + 98 + 4 + 2 + 7 + 1 + 503 + 36 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365718808498176 + 1265463005184 = 19123776^2 + 1124928^2 .

It is a tau number, because it is divible by the number of its divisors (4536).

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

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 323 ways as a sum of consecutive naturals, for example, 11838202306545 + ... + 11838202306575.

It is a 1-persistent number, because it is pandigital, but 2⋅366984271503360 = 733968543006720 is not.

Almost surely, 2^{366984271503360} is an apocalyptic number.

366984271503360 is a gapful number since it is divisible by the number (30) 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 366984271503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821295184941270).

366984271503360 is an abundant number, since it is smaller than the sum of its proper divisors (1275606098379180).

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

366984271503360 is an frugal number, since it uses more digits than its factorization.

366984271503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 366984271503360 in words is "three hundred sixty-six trillion, nine hundred eighty-four billion, two hundred seventy-one million, five hundred three thousand, three hundred sixty".