1641764920320 has 1232 divisors, whose sum is σ = 6969428563968. Its totient is φ = 362976215040.

The previous prime is 1641764920319. The next prime is 1641764920379. The reversal of 1641764920320 is 230294671461.

1641764920320 is a `hidden beast` number, since 1 + 6 + 417 + 6 + 4 + 9 + 203 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 809947147 + ... + 809949173.

Almost surely, 2^{1641764920320} is an apocalyptic number.

1641764920320 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 1641764920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484714281984).

1641764920320 is an abundant number, since it is smaller than the sum of its proper divisors (5327663643648).

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

1641764920320 is an equidigital number, since it uses as much as digits as its factorization.

1641764920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1641764920320 in words is "one trillion, six hundred forty-one billion, seven hundred sixty-four million, nine hundred twenty thousand, three hundred twenty".