263708428320 has 576 divisors, whose sum is σ = 975151457280. Its totient is φ = 64695730176.

The previous prime is 263708428307. The next prime is 263708428339. The reversal of 263708428320 is 23824807362.

263708428320 is a `hidden beast` number, since 2 + 637 + 0 + 8 + 4 + 2 + 8 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×263708428320³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444701944 + ... + 444702536.

It is an arithmetic number, because the mean of its divisors is an integer number (1692971280).

Almost surely, 2^263708428320 is an apocalyptic number.

263708428320 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 263708428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487575728640).

263708428320 is an abundant number, since it is smaller than the sum of its proper divisors (711443028960).

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

263708428320 is a wasteful number, since it uses less digits than its factorization.

263708428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 263708428320 in words is "two hundred sixty-three billion, seven hundred eight million, four hundred twenty-eight thousand, three hundred twenty".