490616640360 has 768 divisors, whose sum is σ = 2170148198400. Its totient is φ = 96577920000.

The previous prime is 490616640317. The next prime is 490616640377. The reversal of 490616640360 is 63046616094.

490616640360 is a `hidden beast` number, since 4 + 90 + 6 + 166 + 40 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14203110 + ... + 14237610.

It is an arithmetic number, because the mean of its divisors is an integer number (2825713800).

Almost surely, 2^490616640360 is an apocalyptic number.

490616640360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490616640360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085074099200).

490616640360 is an abundant number, since it is smaller than the sum of its proper divisors (1679531558040).

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

490616640360 is a wasteful number, since it uses less digits than its factorization.

490616640360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34564 (or 34548 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 490616640360 in words is "four hundred ninety billion, six hundred sixteen million, six hundred forty thousand, three hundred sixty".