1002643641 has 24 divisors (see below), whose sum is σ = 1474254600. Its totient is φ = 656467200.

The previous prime is 1002643637. The next prime is 1002643657. The reversal of 1002643641 is 1463462001.

1002643641 is a `hidden beast` number, since 10 + 0 + 2 + 6 + 4 + 3 + 641 = 666.

1002643641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 1000393641 = 1500^2 + 31629^2 .

It is not a de Polignac number, because 1002643641 - 2² = 1002643637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002643541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575031 + ... + 576771.

It is an arithmetic number, because the mean of its divisors is an integer number (61427275).

Almost surely, 2^1002643641 is an apocalyptic number.

It is an amenable number.

1002643641 is a deficient number, since it is larger than the sum of its proper divisors (471610959).

1002643641 is a wasteful number, since it uses less digits than its factorization.

1002643641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1002643641 is about 31664.5486467121. The cubic root of 1002643641 is about 1000.8804382676.

The spelling of 1002643641 in words is "one billion, two million, six hundred forty-three thousand, six hundred forty-one".