496077696000 has 1056 divisors, whose sum is σ = 1903959570240. Its totient is φ = 128729088000.

The previous prime is 496077695983. The next prime is 496077696001. The reversal of 496077696000 is 696770694.

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

It is not an unprimeable number, because it can be changed into a prime (496077696001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1275263806 + ... + 1275264194.

Almost surely, 2^496077696000 is an apocalyptic number.

496077696000 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 496077696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951979785120).

496077696000 is an abundant number, since it is smaller than the sum of its proper divisors (1407881874240).

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

496077696000 is an equidigital number, since it uses as much as digits as its factorization.

496077696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 496077696000 in words is "four hundred ninety-six billion, seventy-seven million, six hundred ninety-six thousand".