264512644000 has 192 divisors, whose sum is σ = 709619968512. Its totient is φ = 96100992000.

The previous prime is 264512643973. The next prime is 264512644003. The reversal of 264512644000 is 446215462.

264512644000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264512644003) 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 31 ways as a sum of consecutive naturals, for example, 70970137 + ... + 70973863.

It is an arithmetic number, because the mean of its divisors is an integer number (3695937336).

Almost surely, 2^264512644000 is an apocalyptic number.

264512644000 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 264512644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354809984256).

264512644000 is an abundant number, since it is smaller than the sum of its proper divisors (445107324512).

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

264512644000 is a wasteful number, since it uses less digits than its factorization.

264512644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 264512644000 its reverse (446215462), we get a palindrome (264958859462).

The spelling of 264512644000 in words is "two hundred sixty-four billion, five hundred twelve million, six hundred forty-four thousand".