264540420540 has 144 divisors (see below), whose sum is σ = 876228103296. Its totient is φ = 64069488000.

The previous prime is 264540420511. The next prime is 264540420581. The reversal of 264540420540 is 45024045462.

264540420540 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 404 + 205 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 264540420495 and 264540420504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2017419 + ... + 2144541.

It is an arithmetic number, because the mean of its divisors is an integer number (6084917384).

Almost surely, 2^264540420540 is an apocalyptic number.

264540420540 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 264540420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438114051648).

264540420540 is an abundant number, since it is smaller than the sum of its proper divisors (611687682756).

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

264540420540 is a wasteful number, since it uses less digits than its factorization.

264540420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128200 (or 128195 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 264540420540 in words is "two hundred sixty-four billion, five hundred forty million, four hundred twenty thousand, five hundred forty".