496696677120 has 324 divisors, whose sum is σ = 1999095527520. Its totient is φ = 113530540032.

The previous prime is 496696677109. The next prime is 496696677121. The reversal of 496696677120 is 21776696694.

496696677120 is a `hidden beast` number, since 496 + 6 + 9 + 66 + 77 + 12 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (496696677121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 124521 + ... + 1004439.

Almost surely, 2^496696677120 is an apocalyptic number.

496696677120 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 496696677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999547763760).

496696677120 is an abundant number, since it is smaller than the sum of its proper divisors (1502398850400).

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

496696677120 is a wasteful number, since it uses less digits than its factorization.

496696677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879960 (or 879936 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 496696677120 in words is "four hundred ninety-six billion, six hundred ninety-six million, six hundred seventy-seven thousand, one hundred twenty".