496076451840 has 728 divisors, whose sum is σ = 1804877020800. Its totient is φ = 130809987072.

The previous prime is 496076451839. The next prime is 496076451887. The reversal of 496076451840 is 48154670694.

496076451840 is a `hidden beast` number, since 4 + 9 + 60 + 7 + 64 + 518 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2224557969 + ... + 2224558191.

Almost surely, 2^496076451840 is an apocalyptic number.

496076451840 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 496076451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902438510400).

496076451840 is an abundant number, since it is smaller than the sum of its proper divisors (1308800568960).

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

496076451840 is an equidigital number, since it uses as much as digits as its factorization.

496076451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 496076451840 in words is "four hundred ninety-six billion, seventy-six million, four hundred fifty-one thousand, eight hundred forty".