4640628000 has 96 divisors (see below), whose sum is σ = 15202736640. Its totient is φ = 1237497600.

The previous prime is 4640627977. The next prime is 4640628011. The reversal of 4640628000 is 8260464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 181360 + ... + 205359.

It is an arithmetic number, because the mean of its divisors is an integer number (158361840).

Almost surely, 2^4640628000 is an apocalyptic number.

4640628000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4640628000 is an abundant number, since it is smaller than the sum of its proper divisors (10562108640).

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

4640628000 is a wasteful number, since it uses less digits than its factorization.

4640628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386747 (or 386729 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4640628000 is about 68122.1549864653. The cubic root of 4640628000 is about 1667.9854273580.

Adding to 4640628000 its reverse (8260464), we get a palindrome (4648888464).

The spelling of 4640628000 in words is "four billion, six hundred forty million, six hundred twenty-eight thousand".