263674355466240 has 960 divisors, whose sum is σ = 986313416901120. Its totient is φ = 66743351377920.

The previous prime is 263674355466209. The next prime is 263674355466241. The reversal of 263674355466240 is 42664553476362.

263674355466240 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 7 + 43 + 5 + 546 + 6 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263674355466241) 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, 3355321989 + ... + 3355400571.

It is an arithmetic number, because the mean of its divisors is an integer number (1027409809272).

Almost surely, 2^{263674355466240} is an apocalyptic number.

263674355466240 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 263674355466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493156708450560).

263674355466240 is an abundant number, since it is smaller than the sum of its proper divisors (722639061434880).

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

263674355466240 is an equidigital number, since it uses as much as digits as its factorization.

263674355466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78703 (or 78671 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 63.

The spelling of 263674355466240 in words is "two hundred sixty-three trillion, six hundred seventy-four billion, three hundred fifty-five million, four hundred sixty-six thousand, two hundred forty".