1641669120 has 960 divisors, whose sum is σ = 7507019520. Its totient is φ = 334430208.

The previous prime is 1641669119. The next prime is 1641669143. The reversal of 1641669120 is 219661461.

1641669120 is a `hidden beast` number, since 1 + 641 + 6 + 6 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609266 + ... + 56609294.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^1641669120 is an apocalyptic number.

1641669120 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 1641669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

1641669120 is an abundant number, since it is smaller than the sum of its proper divisors (5865350400).

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

1641669120 is an equidigital number, since it uses as much as digits as its factorization.

1641669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1641669120 is about 40517.5162121273. The cubic root of 1641669120 is about 1179.6736433482.

It can be divided in two parts, 1641 and 669120, that added together give a square (670761 = 819²).

The spelling of 1641669120 in words is "one billion, six hundred forty-one million, six hundred sixty-nine thousand, one hundred twenty".