368444261267880 has 384 divisors, whose sum is σ = 1320637716864000. Its totient is φ = 81934067884032.

The previous prime is 368444261267861. The next prime is 368444261267897. The reversal of 368444261267880 is 88762162444863.

It is a super-2 number, since 2×368444261267880² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3682588096 + ... + 3682688144.

It is an arithmetic number, because the mean of its divisors is an integer number (3439160721000).

Almost surely, 2^{368444261267880} is an apocalyptic number.

368444261267880 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 368444261267880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660318858432000).

368444261267880 is an abundant number, since it is smaller than the sum of its proper divisors (952193455596120).

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

368444261267880 is a wasteful number, since it uses less digits than its factorization.

368444261267880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117041 (or 117030 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 69.

The spelling of 368444261267880 in words is "three hundred sixty-eight trillion, four hundred forty-four billion, two hundred sixty-one million, two hundred sixty-seven thousand, eight hundred eighty".