264172846464 has 192 divisors, whose sum is σ = 770592966000. Its totient is φ = 86859288576.

The previous prime is 264172846463. The next prime is 264172846477. The reversal of 264172846464 is 464648271462.

264172846464 is a `hidden beast` number, since 2 + 6 + 4 + 172 + 8 + 4 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 264172846464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264172846463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28750479 + ... + 28759665.

Almost surely, 2^264172846464 is an apocalyptic number.

264172846464 is a gapful number since it is divisible by the number (24) 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 264172846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385296483000).

264172846464 is an abundant number, since it is smaller than the sum of its proper divisors (506420119536).

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

264172846464 is a wasteful number, since it uses less digits than its factorization.

264172846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545 (or 9530 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 264172846464 in words is "two hundred sixty-four billion, one hundred seventy-two million, eight hundred forty-six thousand, four hundred sixty-four".