1641376000 has 144 divisors (see below), whose sum is σ = 4461545088. Its totient is φ = 596736000.

The previous prime is 1641375997. The next prime is 1641376021. The reversal of 1641376000 is 6731461.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1641376000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349669 + ... + 354331.

It is an arithmetic number, because the mean of its divisors is an integer number (30982952).

Almost surely, 2^1641376000 is an apocalyptic number.

1641376000 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 1641376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230772544).

1641376000 is an abundant number, since it is smaller than the sum of its proper divisors (2820169088).

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

1641376000 is an equidigital number, since it uses as much as digits as its factorization.

1641376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1641376000 is about 40513.8988496541. The cubic root of 1641376000 is about 1179.6034289312.

The spelling of 1641376000 in words is "one billion, six hundred forty-one million, three hundred seventy-six thousand".