1640077516 has 96 divisors (see below), whose sum is σ = 3853785600. Its totient is φ = 591098880.

The previous prime is 1640077507. The next prime is 1640077519. The reversal of 1640077516 is 6157700461.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1640077519) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 306270 + ... + 311578.

It is an arithmetic number, because the mean of its divisors is an integer number (40143600).

Almost surely, 2^1640077516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640077516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926892800).

1640077516 is an abundant number, since it is smaller than the sum of its proper divisors (2213708084).

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

1640077516 is a wasteful number, since it uses less digits than its factorization.

1640077516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 1640077516 is about 40497.8705119170. The cubic root of 1640077516 is about 1179.2922874942.

Adding to 1640077516 its reverse (6157700461), we get a palindrome (7797777977).

The spelling of 1640077516 in words is "one billion, six hundred forty million, seventy-seven thousand, five hundred sixteen".