368128481280 has 384 divisors, whose sum is σ = 1351150295040. Its totient is φ = 83819888640.

The previous prime is 368128481261. The next prime is 368128481297. The reversal of 368128481280 is 82184821863.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58272682 + ... + 58278998.

It is an arithmetic number, because the mean of its divisors is an integer number (3518620560).

Almost surely, 2^368128481280 is an apocalyptic number.

368128481280 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 368128481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675575147520).

368128481280 is an abundant number, since it is smaller than the sum of its proper divisors (983021813760).

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

368128481280 is a wasteful number, since it uses less digits than its factorization.

368128481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 368128481280 in words is "three hundred sixty-eight billion, one hundred twenty-eight million, four hundred eighty-one thousand, two hundred eighty".