263040675480 has 768 divisors, whose sum is σ = 1029611520000. Its totient is φ = 59555865600.

The previous prime is 263040675479. The next prime is 263040675493. The reversal of 263040675480 is 84576040362.

263040675480 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 40 + 67 + 548 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117480201 + ... + 117482439.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640000).

Almost surely, 2^263040675480 is an apocalyptic number.

263040675480 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 263040675480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760000).

263040675480 is an abundant number, since it is smaller than the sum of its proper divisors (766570844520).

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

263040675480 is a wasteful number, since it uses less digits than its factorization.

263040675480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 263040675480 in words is "two hundred sixty-three billion, forty million, six hundred seventy-five thousand, four hundred eighty".