368664396349440 has 1440 divisors, whose sum is σ = 1272515749779456. Its totient is φ = 91036361687040.

The previous prime is 368664396349433. The next prime is 368664396349463. The reversal of 368664396349440 is 44943693466863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044375060304 + ... + 1044375060656.

Almost surely, 2^{368664396349440} is an apocalyptic number.

368664396349440 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 368664396349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636257874889728).

368664396349440 is an abundant number, since it is smaller than the sum of its proper divisors (903851353430016).

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

368664396349440 is a wasteful number, since it uses less digits than its factorization.

368664396349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5804752896, while the sum is 75.

The spelling of 368664396349440 in words is "three hundred sixty-eight trillion, six hundred sixty-four billion, three hundred ninety-six million, three hundred forty-nine thousand, four hundred forty".