263321763840 has 960 divisors, whose sum is σ = 1019184768000. Its totient is φ = 64248348672.

The previous prime is 263321763833. The next prime is 263321763841. The reversal of 263321763840 is 48367123362.

263321763840 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 2 + 1 + 7 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263321763841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1767260086 + ... + 1767260234.

It is an arithmetic number, because the mean of its divisors is an integer number (1061650800).

Almost surely, 2^263321763840 is an apocalyptic number.

263321763840 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 263321763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509592384000).

263321763840 is an abundant number, since it is smaller than the sum of its proper divisors (755863004160).

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

263321763840 is a wasteful number, since it uses less digits than its factorization.

263321763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 263321763840 in words is "two hundred sixty-three billion, three hundred twenty-one million, seven hundred sixty-three thousand, eight hundred forty".