4675104000 has 576 divisors, whose sum is σ = 19744058880. Its totient is φ = 1067212800.

The previous prime is 4675103987. The next prime is 4675104019. The reversal of 4675104000 is 4015764.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047614 + ... + 6048386.

It is an arithmetic number, because the mean of its divisors is an integer number (34277880).

Almost surely, 2^4675104000 is an apocalyptic number.

4675104000 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 4675104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872029440).

4675104000 is an abundant number, since it is smaller than the sum of its proper divisors (15068954880).

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

4675104000 is an equidigital number, since it uses as much as digits as its factorization.

4675104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4675104000 is about 68374.7321749782. The cubic root of 4675104000 is about 1672.1058211605.

Adding to 4675104000 its reverse (4015764), we get a palindrome (4679119764).

The spelling of 4675104000 in words is "four billion, six hundred seventy-five million, one hundred four thousand".