265763731968 has 1000 divisors, whose sum is σ = 986060824452. Its totient is φ = 71010680832.

The previous prime is 265763731931. The next prime is 265763731993. The reversal of 265763731968 is 869137367562.

265763731968 is a `hidden beast` number, since 2 + 6 + 5 + 76 + 373 + 196 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265315647744 + 448084224 = 515088^2 + 21168^2 .

It is a super-2 number, since 2×265763731968² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1692762546 + ... + 1692762702.

Almost surely, 2^265763731968 is an apocalyptic number.

265763731968 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 265763731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493030412226).

265763731968 is an abundant number, since it is smaller than the sum of its proper divisors (720297092484).

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

265763731968 is an frugal number, since it uses more digits than its factorization.

265763731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 265763731968 in words is "two hundred sixty-five billion, seven hundred sixty-three million, seven hundred thirty-one thousand, nine hundred sixty-eight".