264757680 has 240 divisors, whose sum is σ = 1003373280. Its totient is φ = 64120320.

The previous prime is 264757673. The next prime is 264757709. The reversal of 264757680 is 86757462.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 260854 + ... + 261866.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^264757680 is an apocalyptic number.

264757680 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 264757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501686640).

264757680 is an abundant number, since it is smaller than the sum of its proper divisors (738615600).

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

264757680 is a wasteful number, since it uses less digits than its factorization.

264757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 264757680 is about 16271.3760942337. The cubic root of 264757680 is about 642.1199880544.

The spelling of 264757680 in words is "two hundred sixty-four million, seven hundred fifty-seven thousand, six hundred eighty".