264781604505600 has 4320 divisors, whose sum is σ = 1246299193699560. Its totient is φ = 55060589445120.

The previous prime is 264781604505589. The next prime is 264781604505601. The reversal of 264781604505600 is 6505406187462.

264781604505600 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 81 + 60 + 450 + 56 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 45638347539456 + 219143256966144 = 6755616^2 + 14803488^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (264781604505601) 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 359 ways as a sum of consecutive naturals, for example, 192848946514 + ... + 192848947886.

Almost surely, 2^{264781604505600} is an apocalyptic number.

264781604505600 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 264781604505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623149596849780).

264781604505600 is an abundant number, since it is smaller than the sum of its proper divisors (981517589193960).

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

264781604505600 is a wasteful number, since it uses less digits than its factorization.

264781604505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1476 counting only the distinct ones).

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

The spelling of 264781604505600 in words is "two hundred sixty-four trillion, seven hundred eighty-one billion, six hundred four million, five hundred five thousand, six hundred".