4906090000 has 200 divisors, whose sum is σ = 13720857920. Its totient is φ = 1664064000.

The previous prime is 4906089983. The next prime is 4906090009. The reversal of 4906090000 is 906094.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4906090009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7629679 + ... + 7630321.

Almost surely, 2^4906090000 is an apocalyptic number.

4906090000 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 4906090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860428960).

4906090000 is an abundant number, since it is smaller than the sum of its proper divisors (8814767920).

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

4906090000 is a wasteful number, since it uses less digits than its factorization.

4906090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4906090000 is about 70043.4864923213. The cubic root of 4906090000 is about 1699.2026249009.

Adding to 4906090000 its reverse (906094), we get a palindrome (4906996094).

The spelling of 4906090000 in words is "four billion, nine hundred six million, ninety thousand".