263946912768 has 352 divisors, whose sum is σ = 974573752320. Its totient is φ = 68557086720.

The previous prime is 263946912751. The next prime is 263946912769. The reversal of 263946912768 is 867219649362.

263946912768 is a `hidden beast` number, since 2 + 6 + 394 + 69 + 127 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (263946912769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066905 + ... + 2190887.

Almost surely, 2^263946912768 is an apocalyptic number.

263946912768 is a gapful number since it is divisible by the number (28) 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 263946912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487286876160).

263946912768 is an abundant number, since it is smaller than the sum of its proper divisors (710626839552).

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

263946912768 is a wasteful number, since it uses less digits than its factorization.

263946912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124030 (or 124006 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 263946912768 in words is "two hundred sixty-three billion, nine hundred forty-six million, nine hundred twelve thousand, seven hundred sixty-eight".