264096853907040 has 6144 divisors, whose sum is σ = 1321333751808000. Its totient is φ = 47606140108800.

The previous prime is 264096853906961. The next prime is 264096853907083. The reversal of 264096853907040 is 40709358690462.

264096853907040 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 96 + 8 + 539 + 0 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 301136663082 + ... + 301136663958.

It is an arithmetic number, because the mean of its divisors is an integer number (215060832000).

Almost surely, 2^{264096853907040} is an apocalyptic number.

264096853907040 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 264096853907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660666875904000).

264096853907040 is an abundant number, since it is smaller than the sum of its proper divisors (1057236897900960).

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

264096853907040 is a wasteful number, since it uses less digits than its factorization.

264096853907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 264096853907040 in words is "two hundred sixty-four trillion, ninety-six billion, eight hundred fifty-three million, nine hundred seven thousand, forty".