368866068480 has 1536 divisors, whose sum is σ = 1642738406400. Its totient is φ = 77396705280.

The previous prime is 368866068479. The next prime is 368866068491. The reversal of 368866068480 is 84860668863.

368866068480 is a `hidden beast` number, since 36 + 8 + 8 + 6 + 60 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037933990 + ... + 2037934170.

It is an arithmetic number, because the mean of its divisors is an integer number (1069491150).

Almost surely, 2^368866068480 is an apocalyptic number.

368866068480 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 368866068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821369203200).

368866068480 is an abundant number, since it is smaller than the sum of its proper divisors (1273872337920).

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

368866068480 is an equidigital number, since it uses as much as digits as its factorization.

368866068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 368866068480 in words is "three hundred sixty-eight billion, eight hundred sixty-six million, sixty-eight thousand, four hundred eighty".