1640016560 has 320 divisors, whose sum is σ = 4986347520. Its totient is φ = 490613760.

The previous prime is 1640016551. The next prime is 1640016563. The reversal of 1640016560 is 656100461.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1640016563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38139899 + ... + 38139941.

It is an arithmetic number, because the mean of its divisors is an integer number (15582336).

Almost surely, 2^1640016560 is an apocalyptic number.

1640016560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493173760).

1640016560 is an abundant number, since it is smaller than the sum of its proper divisors (3346330960).

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

1640016560 is a wasteful number, since it uses less digits than its factorization.

1640016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1640016560 is about 40497.1179221435. The cubic root of 1640016560 is about 1179.2776772434.

The spelling of 1640016560 in words is "one billion, six hundred forty million, sixteen thousand, five hundred sixty".