1640943360 has 1080 divisors, whose sum is σ = 7612632720. Its totient is φ = 334430208.

The previous prime is 1640943307. The next prime is 1640943389. The reversal of 1640943360 is 633490461.

1640943360 = 4109² + 4110² + ... + 4203².

1640943360 is a `hidden beast` number, since 1 + 640 + 9 + 4 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1640943360² = 5385390221456179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86365431 + ... + 86365449.

It is an arithmetic number, because the mean of its divisors is an integer number (7048734).

Almost surely, 2^1640943360 is an apocalyptic number.

1640943360 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 1640943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806316360).

1640943360 is an abundant number, since it is smaller than the sum of its proper divisors (5971689360).

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

1640943360 is a wasteful number, since it uses less digits than its factorization.

1640943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1640943360 is about 40508.5590955788. The cubic root of 1640943360 is about 1179.4997784019.

The spelling of 1640943360 in words is "one billion, six hundred forty million, nine hundred forty-three thousand, three hundred sixty".