490057956670464 has 1056 divisors, whose sum is σ = 1803991589137920. Its totient is φ = 124625862918144.

The previous prime is 490057956670463. The next prime is 490057956670507. The reversal of 490057956670464 is 464076659750094.

490057956670464 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 5 + 7 + 95 + 6 + 6 + 70 + 464 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 490057956670392 and 490057956670401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490057956670463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19140633087 + ... + 19140658689.

Almost surely, 2^{490057956670464} 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 490057956670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901995794568960).

490057956670464 is an abundant number, since it is smaller than the sum of its proper divisors (1313933632467456).

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

490057956670464 is a wasteful number, since it uses less digits than its factorization.

490057956670464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26465 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 490057956670464 in words is "four hundred ninety trillion, fifty-seven billion, nine hundred fifty-six million, six hundred seventy thousand, four hundred sixty-four".