4775598000 has 400 divisors, whose sum is σ = 17695117440. Its totient is φ = 1240704000.

The previous prime is 4775597989. The next prime is 4775598011. The reversal of 4775598000 is 8955774.

It is an interprime number because it is at equal distance from previous prime (4775597989) and next prime (4775598011).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6641641 + ... + 6642359.

Almost surely, 2^4775598000 is an apocalyptic number.

4775598000 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 4775598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847558720).

4775598000 is an abundant number, since it is smaller than the sum of its proper divisors (12919519440).

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

4775598000 is a wasteful number, since it uses less digits than its factorization.

4775598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 4775598000 is about 69105.7016461015. The cubic root of 4775598000 is about 1684.0019389773.

The spelling of 4775598000 in words is "four billion, seven hundred seventy-five million, five hundred ninety-eight thousand".