264004791010560 has 432 divisors, whose sum is σ = 936080620413120. Its totient is φ = 68656809738240.

The previous prime is 264004791010547. The next prime is 264004791010573. The reversal of 264004791010560 is 65010197400462.

264004791010560 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 0 + 4 + 79 + 1 + 0 + 10 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (264004791010547) and next prime (264004791010573).

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 47 ways as a sum of consecutive naturals, for example, 1199110407 + ... + 1199330553.

Almost surely, 2^{264004791010560} is an apocalyptic number.

264004791010560 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 264004791010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468040310206560).

264004791010560 is an abundant number, since it is smaller than the sum of its proper divisors (672075829402560).

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

264004791010560 is a wasteful number, since it uses less digits than its factorization.

264004791010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222754 (or 222737 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 264004791010560 in words is "two hundred sixty-four trillion, four billion, seven hundred ninety-one million, ten thousand, five hundred sixty".