263320668238320 has 640 divisors, whose sum is σ = 1130853837864960. Its totient is φ = 54713232000000.

The previous prime is 263320668238241. The next prime is 263320668238349. The reversal of 263320668238320 is 23832866023362.

263320668238320 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 20 + 6 + 68 + 238 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6461677945 + ... + 6461718695.

It is an arithmetic number, because the mean of its divisors is an integer number (1766959121664).

Almost surely, 2^{263320668238320} is an apocalyptic number.

263320668238320 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 263320668238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565426918932480).

263320668238320 is an abundant number, since it is smaller than the sum of its proper divisors (867533169626640).

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

263320668238320 is a wasteful number, since it uses less digits than its factorization.

263320668238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79642 (or 79630 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 263320668238320 in words is "two hundred sixty-three trillion, three hundred twenty billion, six hundred sixty-eight million, two hundred thirty-eight thousand, three hundred twenty".