4766101000 has 64 divisors (see below), whose sum is σ = 11257159680. Its totient is φ = 1888580800.

The previous prime is 4766100979. The next prime is 4766101003. The reversal of 4766101000 is 1016674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4766101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84729 + ... + 129271.

It is an arithmetic number, because the mean of its divisors is an integer number (175893120).

Almost surely, 2^4766101000 is an apocalyptic number.

4766101000 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 4766101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628579840).

4766101000 is an abundant number, since it is smaller than the sum of its proper divisors (6491058680).

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

4766101000 is a wasteful number, since it uses less digits than its factorization.

4766101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44671 (or 44657 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4766101000 is about 69036.9538725457. The cubic root of 4766101000 is about 1682.8849005372.

Adding to 4766101000 its reverse (1016674), we get a palindrome (4767117674).

The spelling of 4766101000 in words is "four billion, seven hundred sixty-six million, one hundred one thousand".