496679562288 has 880 divisors, whose sum is σ = 1826701208640. Its totient is φ = 127341766656.

The previous prime is 496679562283. The next prime is 496679562299. The reversal of 496679562288 is 882265976694.

It is a happy number.

496679562288 is a `hidden beast` number, since 496 + 6 + 7 + 9 + 56 + 2 + 2 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (496679562283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 4556693178 + ... + 4556693286.

It is an arithmetic number, because the mean of its divisors is an integer number (2075796828).

Almost surely, 2^496679562288 is an apocalyptic number.

496679562288 is a gapful number since it is divisible by the number (48) 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 496679562288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913350604320).

496679562288 is an abundant number, since it is smaller than the sum of its proper divisors (1330021646352).

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

496679562288 is a wasteful number, since it uses less digits than its factorization.

496679562288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 496679562288 in words is "four hundred ninety-six billion, six hundred seventy-nine million, five hundred sixty-two thousand, two hundred eighty-eight".