263075715342 has 96 divisors (see below), whose sum is σ = 637211038464. Its totient is φ = 77747510400.

The previous prime is 263075715341. The next prime is 263075715389. The reversal of 263075715342 is 243517570362.

263075715342 is a `hidden beast` number, since 2 + 6 + 30 + 7 + 571 + 5 + 3 + 42 = 666.

It is a super-3 number, since 3×263075715342³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263075715341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36908983 + ... + 36916109.

It is an arithmetic number, because the mean of its divisors is an integer number (6637614984).

Almost surely, 2^263075715342 is an apocalyptic number.

263075715342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 263075715342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318605519232).

263075715342 is an abundant number, since it is smaller than the sum of its proper divisors (374135323122).

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

263075715342 is a wasteful number, since it uses less digits than its factorization.

263075715342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11734 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 263075715342 in words is "two hundred sixty-three billion, seventy-five million, seven hundred fifteen thousand, three hundred forty-two".