496977768 has 192 divisors, whose sum is σ = 1624896000. Its totient is φ = 139361472.

The previous prime is 496977751. The next prime is 496977787. The reversal of 496977768 is 867779694.

496977768 is a `hidden beast` number, since 496 + 9 + 77 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 802563 + ... + 803181.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2^496977768 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 496977768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448000).

496977768 is an abundant number, since it is smaller than the sum of its proper divisors (1127918232).

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

496977768 is a wasteful number, since it uses less digits than its factorization.

496977768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 496977768 is about 22292.9981832862. The cubic root of 496977768 is about 792.0981283373.

The spelling of 496977768 in words is "four hundred ninety-six million, nine hundred seventy-seven thousand, seven hundred sixty-eight".