273264963264 has 168 divisors, whose sum is σ = 804186910800. Its totient is φ = 88665292800.

The previous prime is 273264963263. The next prime is 273264963271. The reversal of 273264963264 is 462369462372.

273264963264 is a `hidden beast` number, since 2 + 73 + 26 + 496 + 3 + 2 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 273264963264.

It is not an unprimeable number, because it can be changed into a prime (273264963263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10590699 + ... + 10616469.

It is an arithmetic number, because the mean of its divisors is an integer number (4786826850).

Almost surely, 2^273264963264 is an apocalyptic number.

273264963264 is a gapful number since it is divisible by the number (24) 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 273264963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402093455400).

273264963264 is an abundant number, since it is smaller than the sum of its proper divisors (530921947536).

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

273264963264 is a wasteful number, since it uses less digits than its factorization.

273264963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26279 (or 26266 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 273264963264 in words is "two hundred seventy-three billion, two hundred sixty-four million, nine hundred sixty-three thousand, two hundred sixty-four".