366889541316480 has 4608 divisors, whose sum is σ = 1710563116953600. Its totient is φ = 74404032675840.

The previous prime is 366889541316461. The next prime is 366889541316481. The reversal of 366889541316480 is 84613145988663.

366889541316480 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 8 + 9 + 5 + 4 + 131 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 366889541316399 and 366889541316408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366889541316481) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 592713313611 + ... + 592713314229.

It is an arithmetic number, because the mean of its divisors is an integer number (371215954200).

Almost surely, 2^{366889541316480} is an apocalyptic number.

366889541316480 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 366889541316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855281558476800).

366889541316480 is an abundant number, since it is smaller than the sum of its proper divisors (1343673575637120).

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

366889541316480 is a wasteful number, since it uses less digits than its factorization.

366889541316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 366889541316480 in words is "three hundred sixty-six trillion, eight hundred eighty-nine billion, five hundred forty-one million, three hundred sixteen thousand, four hundred eighty".