1641966480 has 360 divisors, whose sum is σ = 6999355584. Its totient is φ = 341107200.

The previous prime is 1641966461. The next prime is 1641966497. The reversal of 1641966480 is 846691461.

1641966480 is a `hidden beast` number, since 164 + 1 + 9 + 6 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385965 + ... + 390195.

Almost surely, 2^1641966480 is an apocalyptic number.

1641966480 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 1641966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499677792).

1641966480 is an abundant number, since it is smaller than the sum of its proper divisors (5357389104).

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

1641966480 is a wasteful number, since it uses less digits than its factorization.

1641966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1641966480 is about 40521.1855700200. The cubic root of 1641966480 is about 1179.7448648818.

The spelling of 1641966480 in words is "one billion, six hundred forty-one million, nine hundred sixty-six thousand, four hundred eighty".