4576001680 has 40 divisors (see below), whose sum is σ = 10670837112. Its totient is φ = 1824958464.

The previous prime is 4576001663. The next prime is 4576001723. The reversal of 4576001680 is 861006754.

It can be written as a sum of positive squares in 4 ways, for example, as 28387584 + 4547614096 = 5328^2 + 67436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57907 + ... + 111826.

Almost surely, 2^4576001680 is an apocalyptic number.

4576001680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4576001680 is an abundant number, since it is smaller than the sum of its proper divisors (6094835432).

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

4576001680 is a wasteful number, since it uses less digits than its factorization.

4576001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170083 (or 170077 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 4576001680 is about 67646.1505187102. The cubic root of 4576001680 is about 1660.2063032899.

The spelling of 4576001680 in words is "four billion, five hundred seventy-six million, one thousand, six hundred eighty".