368320505978880 has 8960 divisors, whose sum is σ = 1841542727270400. Its totient is φ = 68277271265280.

The previous prime is 368320505978819. The next prime is 368320505978899. The reversal of 368320505978880 is 88879505023863.

368320505978880 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 20 + 5 + 0 + 597 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 368320505978799 and 368320505978808.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 6242720440291 + ... + 6242720440349.

It is an arithmetic number, because the mean of its divisors is an integer number (205529322240).

Almost surely, 2^{368320505978880} is an apocalyptic number.

368320505978880 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 368320505978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920771363635200).

368320505978880 is an abundant number, since it is smaller than the sum of its proper divisors (1473222221291520).

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

368320505978880 is a wasteful number, since it uses less digits than its factorization.

368320505978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 368320505978880 in words is "three hundred sixty-eight trillion, three hundred twenty billion, five hundred five million, nine hundred seventy-eight thousand, eight hundred eighty".