264199864320 has 1008 divisors, whose sum is σ = 1100245628160. Its totient is φ = 59624128512.

The previous prime is 264199864297. The next prime is 264199864343. The reversal of 264199864320 is 23468991462.

264199864320 is a `hidden beast` number, since 2 + 6 + 41 + 99 + 86 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264199864297) and next prime (264199864343).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344302041 + ... + 3344302119.

It is an arithmetic number, because the mean of its divisors is an integer number (1091513520).

Almost surely, 2^264199864320 is an apocalyptic number.

264199864320 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 264199864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550122814080).

264199864320 is an abundant number, since it is smaller than the sum of its proper divisors (836045763840).

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

264199864320 is an frugal number, since it uses more digits than its factorization.

264199864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 264199864320 in words is "two hundred sixty-four billion, one hundred ninety-nine million, eight hundred sixty-four thousand, three hundred twenty".