264487991040 has 2160 divisors, whose sum is σ = 1250086297152. Its totient is φ = 51980009472.

The previous prime is 264487991029. The next prime is 264487991041. The reversal of 264487991040 is 40199784462.

264487991040 is a `hidden beast` number, since 2 + 6 + 448 + 7 + 99 + 104 + 0 = 666.

264487991040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264487991041) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2726680272 + ... + 2726680368.

Almost surely, 2^264487991040 is an apocalyptic number.

264487991040 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 264487991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625043148576).

264487991040 is an abundant number, since it is smaller than the sum of its proper divisors (985598306112).

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

264487991040 is a wasteful number, since it uses less digits than its factorization.

264487991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 264487991040 in words is "two hundred sixty-four billion, four hundred eighty-seven million, nine hundred ninety-one thousand, forty".