264450795840 has 1344 divisors, whose sum is σ = 1217401436160. Its totient is φ = 53021122560.

The previous prime is 264450795797. The next prime is 264450795853. The reversal of 264450795840 is 48597054462.

264450795840 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 50 + 7 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×264450795840² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173637319 + ... + 173638841.

It is an arithmetic number, because the mean of its divisors is an integer number (905804640).

Almost surely, 2^264450795840 is an apocalyptic number.

264450795840 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 264450795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608700718080).

264450795840 is an abundant number, since it is smaller than the sum of its proper divisors (952950640320).

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

264450795840 is a wasteful number, since it uses less digits than its factorization.

264450795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 264450795840 in words is "two hundred sixty-four billion, four hundred fifty million, seven hundred ninety-five thousand, eight hundred forty".