496612546560 has 768 divisors, whose sum is σ = 1912473763200. Its totient is φ = 121513181184.

The previous prime is 496612546543. The next prime is 496612546627. The reversal of 496612546560 is 65645216694.

496612546560 is a `hidden beast` number, since 4 + 9 + 66 + 12 + 5 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 496612546497 and 496612546506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 837457624 + ... + 837458216.

Almost surely, 2^496612546560 is an apocalyptic number.

496612546560 is a gapful number since it is divisible by the number (40) 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 496612546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956236881600).

496612546560 is an abundant number, since it is smaller than the sum of its proper divisors (1415861216640).

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

496612546560 is a wasteful number, since it uses less digits than its factorization.

496612546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 496612546560 in words is "four hundred ninety-six billion, six hundred twelve million, five hundred forty-six thousand, five hundred sixty".