496900927744 has 81 divisors (see below), whose sum is σ = 1074343831743. Its totient is φ = 229271218176.

The previous prime is 496900927723. The next prime is 496900927819. The reversal of 496900927744 is 447729009694.

The square root of 496900927744 is 704912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24261177600 + 472639750144 = 155760^2 + 687488^2 .

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 8 ways as a sum of consecutive naturals, for example, 146620002 + ... + 146623390.

Almost surely, 2^496900927744 is an apocalyptic number.

496900927744 is the 704912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496900927744

496900927744 is an abundant number, since it is smaller than the sum of its proper divisors (577442903999).

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

496900927744 is an frugal number, since it uses more digits than its factorization.

496900927744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 496900927744 in words is "four hundred ninety-six billion, nine hundred million, nine hundred twenty-seven thousand, seven hundred forty-four".