263917564416 has 720 divisors, whose sum is σ = 889081345152. Its totient is φ = 78063575040.

The previous prime is 263917564409. The next prime is 263917564433. The reversal of 263917564416 is 614465719362.

It is a happy number.

263917564416 is a `hidden beast` number, since 2 + 6 + 39 + 1 + 7 + 564 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 707553606 + ... + 707553978.

Almost surely, 2^263917564416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263917564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444540672576).

263917564416 is an abundant number, since it is smaller than the sum of its proper divisors (625163780736).

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

263917564416 is an equidigital number, since it uses as much as digits as its factorization.

263917564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 436 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 263917564416 in words is "two hundred sixty-three billion, nine hundred seventeen million, five hundred sixty-four thousand, four hundred sixteen".