4893660090 has 256 divisors, whose sum is σ = 15079219200. Its totient is φ = 1117670400.

The previous prime is 4893660059. The next prime is 4893660097. The reversal of 4893660090 is 900663984.

4893660090 is a `hidden beast` number, since 4 + 8 + 9 + 36 + 600 + 9 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4893660097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4849506 + ... + 4850514.

It is an arithmetic number, because the mean of its divisors is an integer number (58903200).

Almost surely, 2^4893660090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4893660090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539609600).

4893660090 is an abundant number, since it is smaller than the sum of its proper divisors (10185559110).

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

4893660090 is a wasteful number, since it uses less digits than its factorization.

4893660090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4893660090 is about 69954.7002709611. The cubic root of 4893660090 is about 1697.7663964615.

The spelling of 4893660090 in words is "four billion, eight hundred ninety-three million, six hundred sixty thousand, ninety".