496964268864 has 588 divisors, whose sum is σ = 1730910427428. Its totient is φ = 141087744000.

The previous prime is 496964268799. The next prime is 496964268887. The reversal of 496964268864 is 468862469694.

496964268864 is a `hidden beast` number, since 4 + 9 + 69 + 6 + 426 + 88 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2642782464 + 494321486400 = 51408^2 + 703080^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 496964268792 and 496964268801.

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 83 ways as a sum of consecutive naturals, for example, 413791464 + ... + 413792664.

Almost surely, 2^496964268864 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 496964268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865455213714).

496964268864 is an abundant number, since it is smaller than the sum of its proper divisors (1233946158564).

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

496964268864 is a wasteful number, since it uses less digits than its factorization.

496964268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1394 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 496964268864 in words is "four hundred ninety-six billion, nine hundred sixty-four million, two hundred sixty-eight thousand, eight hundred sixty-four".