264228548804640 has 4320 divisors, whose sum is σ = 1184322091518720. Its totient is φ = 55279724838912.

The previous prime is 264228548804579. The next prime is 264228548804699. The reversal of 264228548804640 is 46408845822462.

It is a happy number.

264228548804640 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 2 + 8 + 548 + 8 + 0 + 46 + 40 = 666.

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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1476137144071 + ... + 1476137144249.

It is an arithmetic number, because the mean of its divisors is an integer number (274148632296).

Almost surely, 2^{264228548804640} is an apocalyptic number.

264228548804640 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 264228548804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592161045759360).

264228548804640 is an abundant number, since it is smaller than the sum of its proper divisors (920093542714080).

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

264228548804640 is a wasteful number, since it uses less digits than its factorization.

264228548804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 63.

The spelling of 264228548804640 in words is "two hundred sixty-four trillion, two hundred twenty-eight billion, five hundred forty-eight million, eight hundred four thousand, six hundred forty".