264345079680 has 288 divisors, whose sum is σ = 1003346515080. Its totient is φ = 64083486720.

The previous prime is 264345079627. The next prime is 264345079819. The reversal of 264345079680 is 86970543462.

264345079680 is a `hidden beast` number, since 2 + 6 + 43 + 4 + 507 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 507319 + ... + 886601.

Almost surely, 2^264345079680 is an apocalyptic number.

264345079680 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 264345079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501673257540).

264345079680 is an abundant number, since it is smaller than the sum of its proper divisors (739001435400).

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

264345079680 is a wasteful number, since it uses less digits than its factorization.

264345079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379330 (or 379304 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 264345079680 in words is "two hundred sixty-four billion, three hundred forty-five million, seventy-nine thousand, six hundred eighty".