1640164113 has 96 divisors (see below), whose sum is σ = 3020544000. Its totient is φ = 874450080.

The previous prime is 1640164111. The next prime is 1640164117. The reversal of 1640164113 is 3114610461.

1640164113 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 1 + 641 + 13 = 666.

It is not a de Polignac number, because 1640164113 - 2¹ = 1640164111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1640164111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1784268 + ... + 1785186.

It is an arithmetic number, because the mean of its divisors is an integer number (31464000).

Almost surely, 2^1640164113 is an apocalyptic number.

It is an amenable number.

1640164113 is a deficient number, since it is larger than the sum of its proper divisors (1380379887).

1640164113 is a wasteful number, since it uses less digits than its factorization.

1640164113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1640164113 is about 40498.9396527860. The cubic root of 1640164113 is about 1179.3130428906.

Adding to 1640164113 its reverse (3114610461), we get a palindrome (4754774574).

The spelling of 1640164113 in words is "one billion, six hundred forty million, one hundred sixty-four thousand, one hundred thirteen".