368209121280 has 832 divisors, whose sum is σ = 1582082869248. Its totient is φ = 70613729280.

The previous prime is 368209121191. The next prime is 368209121299. The reversal of 368209121280 is 82121902863.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61498447 + ... + 61504433.

Almost surely, 2^368209121280 is an apocalyptic number.

368209121280 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 368209121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791041434624).

368209121280 is an abundant number, since it is smaller than the sum of its proper divisors (1213873747968).

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

368209121280 is a wasteful number, since it uses less digits than its factorization.

368209121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 368209121280 in words is "three hundred sixty-eight billion, two hundred nine million, one hundred twenty-one thousand, two hundred eighty".