264124212480 has 288 divisors, whose sum is σ = 942204856320. Its totient is φ = 70062612480.

The previous prime is 264124212467. The next prime is 264124212487. The reversal of 264124212480 is 84212421462.

264124212480 is a `hidden beast` number, since 2 + 6 + 412 + 42 + 124 + 80 = 666.

264124212480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264124212487) 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, 6580954 + ... + 6620966.

It is an arithmetic number, because the mean of its divisors is an integer number (3271544640).

Almost surely, 2^264124212480 is an apocalyptic number.

264124212480 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 264124212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471102428160).

264124212480 is an abundant number, since it is smaller than the sum of its proper divisors (678080643840).

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

264124212480 is a wasteful number, since it uses less digits than its factorization.

264124212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40234 (or 40214 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 264124212480 in words is "two hundred sixty-four billion, one hundred twenty-four million, two hundred twelve thousand, four hundred eighty".