264551332320 has 1152 divisors, whose sum is σ = 1069915392000. Its totient is φ = 58879180800.

The previous prime is 264551332319. The next prime is 264551332349. The reversal of 264551332320 is 23233155462.

264551332320 is a `hidden beast` number, since 2 + 64 + 551 + 3 + 3 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1329403581 + ... + 1329403779.

It is an arithmetic number, because the mean of its divisors is an integer number (928746000).

Almost surely, 2^264551332320 is an apocalyptic number.

264551332320 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 264551332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696000).

264551332320 is an abundant number, since it is smaller than the sum of its proper divisors (805364059680).

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

264551332320 is a wasteful number, since it uses less digits than its factorization.

264551332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 264551332320 its reverse (23233155462), we get a palindrome (287784487782).

The spelling of 264551332320 in words is "two hundred sixty-four billion, five hundred fifty-one million, three hundred thirty-two thousand, three hundred twenty".