2223765688320 has 1664 divisors, whose sum is σ = 9111243778560. Its totient is φ = 509607936000.

The previous prime is 2223765688301. The next prime is 2223765688327. The reversal of 2223765688320 is 238865673222.

2223765688320 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 76 + 568 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2223765688327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9227243400 + ... + 9227243640.

Almost surely, 2^{2223765688320} is an apocalyptic number.

2223765688320 is a gapful number since it is divisible by the number (20) 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 2223765688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555621889280).

2223765688320 is an abundant number, since it is smaller than the sum of its proper divisors (6887478090240).

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

2223765688320 is a wasteful number, since it uses less digits than its factorization.

2223765688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2223765688320 in words is "two trillion, two hundred twenty-three billion, seven hundred sixty-five million, six hundred eighty-eight thousand, three hundred twenty".