264714540480 has 448 divisors, whose sum is σ = 1032886001280. Its totient is φ = 63398412288.

The previous prime is 264714540437. The next prime is 264714540509. The reversal of 264714540480 is 84045417462.

264714540480 is a `hidden beast` number, since 2 + 64 + 7 + 1 + 4 + 540 + 48 + 0 = 666.

264714540480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4123992 + ... + 4187688.

It is an arithmetic number, because the mean of its divisors is an integer number (2305549110).

Almost surely, 2^264714540480 is an apocalyptic number.

264714540480 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 264714540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516443000640).

264714540480 is an abundant number, since it is smaller than the sum of its proper divisors (768171460800).

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

264714540480 is a wasteful number, since it uses less digits than its factorization.

264714540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63773 (or 63757 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 264714540480 in words is "two hundred sixty-four billion, seven hundred fourteen million, five hundred forty thousand, four hundred eighty".