264420488664 has 128 divisors (see below), whose sum is σ = 782859340800. Its totient is φ = 82405900800.

The previous prime is 264420488659. The next prime is 264420488677. The reversal of 264420488664 is 466884024462.

264420488664 is a `hidden beast` number, since 2 + 64 + 42 + 0 + 488 + 6 + 64 = 666.

264420488664 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 264420488664.

It is a congruent number.

It is an unprimeable number.

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, 316029 + ... + 792915.

It is an arithmetic number, because the mean of its divisors is an integer number (6116088600).

Almost surely, 2^264420488664 is an apocalyptic number.

264420488664 is a gapful number since it is divisible by the number (24) 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 264420488664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391429670400).

264420488664 is an abundant number, since it is smaller than the sum of its proper divisors (518438852136).

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

264420488664 is a wasteful number, since it uses less digits than its factorization.

264420488664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477070 (or 477060 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 264420488664 in words is "two hundred sixty-four billion, four hundred twenty million, four hundred eighty-eight thousand, six hundred sixty-four".