4575690000 has 600 divisors, whose sum is σ = 19035656640. Its totient is φ = 1041984000.

The previous prime is 4575689957. The next prime is 4575690011. The reversal of 4575690000 is 965754.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×4575690000² = 41873877952200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17009866 + ... + 17010134.

Almost surely, 2^4575690000 is an apocalyptic number.

4575690000 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 4575690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517828320).

4575690000 is an abundant number, since it is smaller than the sum of its proper divisors (14459966640).

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

4575690000 is an equidigital number, since it uses as much as digits as its factorization.

4575690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4575690000 is about 67643.8467268088. The cubic root of 4575690000 is about 1660.1686091860.

The spelling of 4575690000 in words is "four billion, five hundred seventy-five million, six hundred ninety thousand".