264134960640 has 800 divisors, whose sum is σ = 982143835200. Its totient is φ = 67793780736.

The previous prime is 264134960599. The next prime is 264134960641. The reversal of 264134960640 is 46069431462.

264134960640 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 34 + 9 + 606 + 4 + 0 = 666.

It is a super-3 number, since 3×264134960640³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264134960641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1327311261 + ... + 1327311459.

It is an arithmetic number, because the mean of its divisors is an integer number (1227679794).

Almost surely, 2^264134960640 is an apocalyptic number.

264134960640 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 264134960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491071917600).

264134960640 is an abundant number, since it is smaller than the sum of its proper divisors (718008874560).

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

264134960640 is a wasteful number, since it uses less digits than its factorization.

264134960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 264134960640 in words is "two hundred sixty-four billion, one hundred thirty-four million, nine hundred sixty thousand, six hundred forty".