496795732416 has 336 divisors, whose sum is σ = 1468949803776. Its totient is φ = 160472420352.

The previous prime is 496795732393. The next prime is 496795732423. The reversal of 496795732416 is 614237597694.

496795732416 is a `hidden beast` number, since 4 + 9 + 67 + 95 + 73 + 2 + 416 = 666.

Its product of digits (68584320) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 987665221 + ... + 987665723.

It is an arithmetic number, because the mean of its divisors is an integer number (4371874416).

Almost surely, 2^496795732416 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 496795732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734474901888).

496795732416 is an abundant number, since it is smaller than the sum of its proper divisors (972154071360).

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

496795732416 is a wasteful number, since it uses less digits than its factorization.

496795732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 496795732416 in words is "four hundred ninety-six billion, seven hundred ninety-five million, seven hundred thirty-two thousand, four hundred sixteen".