496987176960 has 1024 divisors, whose sum is σ = 1908798624000. Its totient is φ = 123834728448.

The previous prime is 496987176947. The next prime is 496987176977. The reversal of 496987176960 is 69671789694.

496987176960 is a `hidden beast` number, since 496 + 9 + 8 + 7 + 1 + 76 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

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 63 ways as a sum of consecutive naturals, for example, 6808043484 + ... + 6808043556.

Almost surely, 2^496987176960 is an apocalyptic number.

496987176960 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 496987176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954399312000).

496987176960 is an abundant number, since it is smaller than the sum of its proper divisors (1411811447040).

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

496987176960 is an frugal number, since it uses more digits than its factorization.

496987176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 496987176960 in words is "four hundred ninety-six billion, nine hundred eighty-seven million, one hundred seventy-six thousand, nine hundred sixty".