366313808640 has 288 divisors, whose sum is σ = 1265220956160. Its totient is φ = 89789349888.

The previous prime is 366313808633. The next prime is 366313808687. The reversal of 366313808640 is 46808313663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 366313808640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11915529 + ... + 11946231.

It is an arithmetic number, because the mean of its divisors is an integer number (4393128320).

Almost surely, 2^366313808640 is an apocalyptic number.

366313808640 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 366313808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632610478080).

366313808640 is an abundant number, since it is smaller than the sum of its proper divisors (898907147520).

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

366313808640 is a wasteful number, since it uses less digits than its factorization.

366313808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30979 (or 30965 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 366313808640 in words is "three hundred sixty-six billion, three hundred thirteen million, eight hundred eight thousand, six hundred forty".