490177641690 has 768 divisors, whose sum is σ = 1550104657920. Its totient is φ = 109930867200.

The previous prime is 490177641683. The next prime is 490177641719. The reversal of 490177641690 is 96146771094.

490177641690 is a `hidden beast` number, since 490 + 1 + 7 + 7 + 64 + 1 + 6 + 90 = 666.

It is a super-3 number, since 3×490177641690³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3859666407 + ... + 3859666533.

It is an arithmetic number, because the mean of its divisors is an integer number (2018365440).

Almost surely, 2^490177641690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490177641690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775052328960).

490177641690 is an abundant number, since it is smaller than the sum of its proper divisors (1059927016230).

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

490177641690 is a wasteful number, since it uses less digits than its factorization.

490177641690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 490177641690 in words is "four hundred ninety billion, one hundred seventy-seven million, six hundred forty-one thousand, six hundred ninety".