1641163680 has 576 divisors, whose sum is σ = 6657251328. Its totient is φ = 378224640.

The previous prime is 1641163639. The next prime is 1641163721. The reversal of 1641163680 is 863611461.

1641163680 is a `hidden beast` number, since 1 + 6 + 4 + 11 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1641163639) and next prime (1641163721).

It is a super-2 number, since 2×1641163680² = 5386836449102284800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592385 + ... + 8592575.

It is an arithmetic number, because the mean of its divisors is an integer number (11557728).

Almost surely, 2^1641163680 is an apocalyptic number.

1641163680 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 1641163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328625664).

1641163680 is an abundant number, since it is smaller than the sum of its proper divisors (5016087648).

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

1641163680 is a wasteful number, since it uses less digits than its factorization.

1641163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1641163680 is about 40511.2784295929. The cubic root of 1641163680 is about 1179.5525642502.

The spelling of 1641163680 in words is "one billion, six hundred forty-one million, one hundred sixty-three thousand, six hundred eighty".