264077010648 has 320 divisors, whose sum is σ = 836138207520. Its totient is φ = 77162803200.

The previous prime is 264077010623. The next prime is 264077010649. The reversal of 264077010648 is 846010770462.

264077010648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264077010649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29797738 + ... + 29806598.

Almost surely, 2^264077010648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264077010648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418069103760).

264077010648 is an abundant number, since it is smaller than the sum of its proper divisors (572061196872).

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

264077010648 is a wasteful number, since it uses less digits than its factorization.

264077010648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 264077010648 in words is "two hundred sixty-four billion, seventy-seven million, ten thousand, six hundred forty-eight".