490574128968 has 896 divisors, whose sum is σ = 1835820288000. Its totient is φ = 118924277760.

The previous prime is 490574128903. The next prime is 490574129021. The reversal of 490574128968 is 869821475094.

490574128968 is a `hidden beast` number, since 4 + 90 + 57 + 412 + 89 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1366501573 + ... + 1366501931.

Almost surely, 2^490574128968 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 490574128968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917910144000).

490574128968 is an abundant number, since it is smaller than the sum of its proper divisors (1345246159032).

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

490574128968 is a wasteful number, since it uses less digits than its factorization.

490574128968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 490574128968 in words is "four hundred ninety billion, five hundred seventy-four million, one hundred twenty-eight thousand, nine hundred sixty-eight".