264314213280 has 576 divisors, whose sum is σ = 994426917120. Its totient is φ = 63531859968.

The previous prime is 264314213257. The next prime is 264314213281. The reversal of 264314213280 is 82312413462.

264314213280 is a `hidden beast` number, since 2 + 6 + 431 + 4 + 213 + 2 + 8 + 0 = 666.

264314213280 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 a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264314213281) 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 95 ways as a sum of consecutive naturals, for example, 184447444 + ... + 184448876.

It is an arithmetic number, because the mean of its divisors is an integer number (1726435620).

Almost surely, 2^264314213280 is an apocalyptic number.

264314213280 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 264314213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497213458560).

264314213280 is an abundant number, since it is smaller than the sum of its proper divisors (730112703840).

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

264314213280 is a wasteful number, since it uses less digits than its factorization.

264314213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 264314213280 in words is "two hundred sixty-four billion, three hundred fourteen million, two hundred thirteen thousand, two hundred eighty".