264412330560 has 560 divisors, whose sum is σ = 1089706670976. Its totient is φ = 59606212608.

The previous prime is 264412330543. The next prime is 264412330573. The reversal of 264412330560 is 65033214462.

264412330560 is a `hidden beast` number, since 2 + 6 + 4 + 41 + 23 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13235139 + ... + 13255101.

Almost surely, 2^264412330560 is an apocalyptic number.

264412330560 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 264412330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544853335488).

264412330560 is an abundant number, since it is smaller than the sum of its proper divisors (825294340416).

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

264412330560 is a wasteful number, since it uses less digits than its factorization.

264412330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20072 (or 20053 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 264412330560 in words is "two hundred sixty-four billion, four hundred twelve million, three hundred thirty thousand, five hundred sixty".